According to a review of the camera.
The max. shutter speed in Manual is 1/1000
The max. shutter speed is 1/2000 in Auto and Program Auto.
Here is a link:
Scroll down to the specification chart and look in the bracket called Shutter Speeds.
I have a Sony dsc-h1 and the maximum shutter speed I can set in manual mode is 1/1000. The specs state that the camera can go up to 1/2000. So what am I missing? Answers from people who have used this camera would be great.