You've been asking for it, so we added it: you can now easily restore and sync your profile between multiple devices using your Game Center or Google Play Games account.
To link your profile, simply log into your Game Center or Google Play Games account, then load up CSR 2 and your account will be automatically linked to your account. Now, if you sign into the same Google Play or Game Center account on a different device, you'll be able to transfer your progress and continue playing where you left off.
Please be aware that syncing your profile between two or more devices is only possible within the same platform. Unfortunately, syncing progress on a different device via iOS-Android or vice versa is not possible.