Opening Cheat Menu
At main screen, push and hold L2+O+R2 in that order, then release O+R2+L2 in that order. 

All challenges Get to the cheat menu and put in the numbers 975013 
All cities Get to the cheat menu and put in the numbers 659996 
All monsters Get to the cheat menu and put in the numbers 525955 
Everything Get to the cheat menu and put in the numbers 246518 

532459 100,000 Points 
667596 150,000 Points 
750330 200,000 Points 
812304 Indestructible Buildings 
122574 One Time Energy 
259565 P1 4x damage 
531470 P1 Invisible 
338592 P1 Invulnerable 
819342 P1 Super Energy 
927281 P2 4X damage 
118699 P2 Invisible 
259333 P2 Invulnerable 
324511 P2 Super Energy 
500494 P3 4x damage 
507215 P3 Invisible 
953598 P3 Invulnerable 
651417 P3 Super Energy 
988551 P4 4x damage 
198690 P4 Invisible 
485542 P4 Invulnerable 
456719 P4 Super Energy 
536117 Regenerating Health 
294206 Unlock Gallery 1 
409014 Unlock Gallery 2