How can I access accounts associated with e-mails that no longer exist?

[iMore Question]

Everytime I turn on my Ipad it asks for my Cloud ID. It was okay when it only asked once, I would ignore. Now it asks 3 or 4 times. I'm not able to purchase any apps or use any iTunes cards because I can't access my account. This account is associated with an e-mail address I can no longer access since I switched carriers. I am extremely frustrated. Isn't there a phone number I can call?

 

[kch50428]

The AppleID should still work as long as you know the password... you can change the AppleID... Apple ID - Apple Support