Hi, I've been having this problem too, so I thought I'd add some helpful info.
LIST OF MAXIMUM TEXTURE SIZES
*iOS:
iPod Touch 1 & 2: 1024x1024
iPod Touch 3 & 4: 2048x2048
iPod Touch 5: 4096x4096
iPhone 1 & 3G: 1024x1024
iPhone 3GS & 4: 2048x2048
iPhone 4S: 2048 or 4096
iPhone 5: 4096
iPad: 2048
iPad 2: 2048 or 4096
iPad 3, 4, mini: 4096
*Android:
Almost no devices are capped at 1024x1024, most at 2048x2048, and some at 4096x4096.
(This list is incomplete of course)
Breakdown:
Acer A211: 2048
Acer E250: 2048
Acer Iconia A100: 2048
Acer Iconia A511: 2048
Acer S500: 4096
Acer v360: 2048
AGPTek BRONCHO a710: 4096
Ainol Novo10 Hero: 4096
Ainol Novo 7 Venus: 8192
Ainol Novo Crystal: 4096
Airis OnePAD 735G: 8192
Alcatel One Touch 990: 4096
Alcatel One Touch 997: 2048
Alcatel Venture: 4096
Allview Alldro 2 Speed DUO: 4096
Allview ALLVIEW_TX1_Quasar: 2048
Allview P4i: 2048
Allview P6: 2048
Amazon KFJWA Kindle Fire HD 8.9: 4096
Amazon KFTT Kindle Fire HD 7: 2048
Amazon Kindle Fire: 2048
Barnes & Noble BNTV400: 4096
Barnes & Noble BNTV600: 4096
Coby Kyros MID 7022: 4096
Dell Streak: 4096
Google Galaxy Nexus: 2048
Google Nexus One: 1024, 2048, or 4096
Google Nexus 7: 2048
Google Nexus 10: 4096
Hisense HS-E860: 4096
Hisense HS-E930: 4096
Hisense HS-T950: 2048
Hisense AD683G: 4096
HTC 6435LVW: 4096
HTC Butterfly: 4096
HTC Desire X: 4096
HTC EVO 3D (Shooter): 4096
HTC EVO 3D Sprint 4G (PG86100): 4096
HTC EVO View 4G: 4096
HTC Kingdom: 4096
HTC One: 4096
HTC Sensation 4G: 4096
LG C800G: 4096
LG XT557: 4096
LG E975: 4096
Motorola Droid 2: 2048
Motorola Droid 4: 2048
Motorola DROID RAZR HD: 4096
Motorola XT389 Motoluxe: 2048
Motorola XT928: 2048
Samsung EK-GC100: 4096
Samsung Galaxy X: 2048
Samsung GT-B5330: 2048
Samsung GT-S7710: 4096
Samsung YP-GS1: 2048
Samsung SGH-T989: 4096
Sony C2104: 4096
Sony C6603: 4096
Sony ST21i: 4096
SonyEricsson LT15i: 4096
SonyEricsson WT19i: 4096
SonyEricsson Xperia SK17i Mango: 4096
Toshiba AT100: 2048
Toshiba AT570: 2048
T-Mobile G2: 4096
source:
http://www.glbenchmark.com/http://developer.apple.com/library/ios/#documentation/3DDrawing/Conceptual/OpenGLES_ProgrammingGuide/OpenGLESPlatforms/OpenGLESPlatforms.html