There is still some confusion on documents required for ₹2,000 notes exchange and deposit. While the rules differ between banks, it’s recommended to carry one official ID proof (e.g., Aadhaar card) and the ₹2,000 notes.
If you are an existing account holder for a particular bank and want to deposit ₹2,000 cash into your account, the extant KYC and other statutory norms for cash transaction will be applicable (e.g., PAN card will be required if you are depositing more than ₹50,000 in cash).