There were at least 30 rescues in Naples, Florida, on Wednesday amid ongoing rescue operations, the Collier County Sheriff's Office said.

"Our East Naples deputies did 30 rescue missions today. We are still collecting numbers from other areas. We are still rescuing people," the office wrote on Facebook.

"Water is everywhere. It will recede. There will be damage," it added. "Tomorrow we will have a better idea of the extent of damage. We will keep you updated."

The number of customers without power in Florida has topped 2 million, as Hurricane Ian continues making its way across the state.

Most of the outages are in the southern Gulf side of the state, primarily in Lee, Collier, Charlotte and Sarasota counties.

The outages are moving east as the storm moves across the state.

-ABC News' Darren Reynolds

Jacksonville Mayor Lenny Curry announced Wednesday evening that the city is closing Atlantic, Neptune and Jacksonville beaches ahead of Hurricane Ian’s impact on the area.

“We will reopen as soon as it’s safe for citizens,” Curry tweeted.

Hurricane Ian has been downgraded to a Category 2 storm as of a 9 p.m. ET update, with winds now at 105 mph.

-ABC News' Riley Winch

Caribbean islands such as Jamaica and Grand Cayman will start to experience the effects from the outer bands of Tropical Storm Ian within the next 24 hours, forecasts show. The islands will experience conditions such as heavy rain, possible flash flooding and storm surge.

The storm system will begin to rapidly intensify overnight into Monday before it closes in on western Cuba on Monday night.

As of 2 p.m., the sustained winds in the tropical storm remained at 50 mph as it moved west-northwest at 12 mph, the center about 265 miles away from Grand Cayman.

Hurricane warnings are in effect for Grand Cayman and western Cuba, while tropical storm warnings and watches are in effect in other portions of both islands.

As a hurricane, Ian is expected to peak at a Category 4 before weakening slightly as it looks to make landfall on the west coast or panhandle of Florida in the coming days.

There is still some uncertainty to the track Ian will take once the system enters the Gulf of Mexico.

The center of the storm and the worst of the impacts could end up heading toward the western coast of Florida's peninsula, including the Tampa area. The other possible scenario has the storm moving more due north and bringing a possible landfall along the Florida peninsula, impacting cities like Panama City and Tallahassee with more direct effects.

The storm will begin to impact the Florida keys and the southern portions of the state by Tuesday night.

-ABC News' Dan Peck