The only way you can save any data is to plug it into your syncing computer and see if iTunes will pull anything off it. If not, then there's no way. Just make an appointment at your local apple store and have them look at it.
since it was accidental damage, if they do replace it, there will be a fee involved. With the iPad 2 I believe it starts at 249 and goes up depending on the model.
A few iPad users have been successful in "reviving" an iPad after a drop. Turn the iPad over and give it a HARD SLAP in the back. May take several slaps.
Apple's Limited Warranty http://www.apple.com/legal/warranty/ for iPad excludes coverage for damage resulting from accident, disassembly, unauthorized service and unauthorized modifications.
If you own an iPad that is ineligible for warranty service but is eligible for Out-of-Warranty (OOW) Service, Apple will replace (Apple doesn't repair) your iPad with an iPad that is new or equivalent to new in both performance and reliability for the Out-of-Warranty Service fee listed below. (The replacement will most likely be a refurbished iPad in a brown box, however, it has a new screen, back and battery.)
iPad model Out-of-Warranty Service Fee iPad mini $219 iPad 3rd, 4th generation $299 iPad 2, iPad $249
A $6.95 shipping fee will be added if service is arranged through Apple and requires shipping. All fees are in US dollars and are subject to local tax.
Certain damage is ineligible for out-of-warranty service, including catastrophic damage, such as the device separating into multiple pieces, and inoperability caused by unauthorized modifications. However, an iPad that has failed due to contact with liquid may be eligible for out-of-warranty service. See http://support.apple.com/kb/index?page=servicefaq&geo=United_States&product=ipad
Make a Genius Bar Reservation
You may can get the iPad repaired at 3rd party repair sources for less $, however, any remaining Apple warranty will be voided.
iCracked - Broken iPhone, iPod or iPad
iReVamp Electronics Screen Repair ($99)
iPad Repair & Screen Replacement Services
RepairZoom iPad Repair