1. First, submit a formal request to permanently close your account. (TO WHOM)
2. If you've listed or bid on an item recently, eBay requires a waiting period of 180 days before closing your account. During the waiting period, you won't be able to bid, make purchases, list items, or change your contact information--but you'll still have access to your account information. (DOESN'T APPLY)
Why is it important to close the account? Does it have bank details or anything like that? If it does, I can understand your anxiety otherwise, my attitude would be just to ignore it and let it fall into oblivion.