A319 flight crew member reported diverting to an alternate airport after experiencing the failure of #2 engine on takeoff.

Narrative

Departing ZZZ; we experienced an ENG 2 failure on takeoff. Initially; there was an extraordinarily loud bang with a sudden uncommanded roll to the right. FO called engine failure. We had not yet quite reached acceleration altitude but were just below it at about 800-900ft MSL. We followed the appropriate engine out procedure and V1 climb profile; proceeded to request priority handling and diverted to ZZZ1. We ran the appropriate ECAM actions; QRH for ENG (2) Fail; and Overweight Landing checklist. Upon completing all applicable ECAM actions; QRH procedures; and checklists; we notified flight attendants; passengers; and company.Upon completing a normal landing (with one engine inop) and stopping on the runway; we were inspected by crash and rescue services. We were informed the aft section of ENG 2 was completely destroyed with loose bits of debris. Upon hearing this we opted to be towed back in case we were leaking any fluids and to avoid further potential damage with loose debris.Ultimately; we arrived at the gate under-towed. No passengers were injured and no evacuation was executed.