Best way to get to the 2048 tile and above is to just keep all the big numbers at one corner and only move in 3 directions,example up,left right or down,left,right.And also never move up or down in the 3 directional method unless you have no other moves.I've got to 4096 tile on my phone using this method,so I hope this will work for you guys!
 "Don't Escape 3"){kind=icon}
 "Swords & Sandals II: Emperor's Reign Full Version"){kind=icon}
 "2048 Flash"){kind=icon}
 "VVVVVV Demo"){kind=icon}