Big Time Costume
At the main menu press on the D pad: Right, Down, Down, Up, Left, Down, Down, Right. You should get a notification that the cheat was activated. Just go to the Bonus Gallery, and then to "Alternate Costumes" to select Big Time Spider-man for 2099.
Future Foundation Costume
After selecting a save game, enter the code: Up, Down, Left, Up, Down, Left, Right, Left) using the D-Pad This will unlock the Future Foundation costume for Spider-Man, which can be selected by going into the Bonus Gallery section of the main menu.