MD-11 pilot reported the #2 engine rolled back during cruise. The flight crew noticed a fuel imbalance and performed an in flight shut down of the #2 engine and continued to destination airport.

Narrative

At approximately XA50Z during the arrival phase to ZZZ shortly after leveling off at FL280; both the First Officer and I noticed the #2 Engine start to rollback. Within a couple of seconds after that we got a LVL 2 ENG #2 RPM LO Alert. I directed the First Officer to run the ENG #2 RPM LO checklist. At that time we requested priority handling with ATC. We then continued with the checklist and then performed the restart checklist with no success. At that time; being as close as we were to ZZZ; the decision was made to secure the engine and continue to ZZZ. During the time of the engine flame out; we had a balanced fuel condition with 14;000 pounds in each respective engines main fuel tank. The aircraft was being operated with Manual Fuel Procedures at the time due to one of the #1 Fuel pumps being deferred. Immediately after getting the LVL 2 Alert the First Officer selected the Fuel Synoptic display. We immediately noticed that the #2 Engine fuel pump was not operating; thus causing the flame out. We tried several times to attempt to manually push the #2 fuel pump switch to the ON position again on the overhead Fuel Control Panel. That action was attempted several times; with no success of getting the pump to come back on. It was at that time the decision was made to secure the engine and continue to ZZZ. The approach and landing were uneventful. As a side note. The previous inbound flight to ZZZ; the Captain wrote up the #2 Engine Fuel pump could not be turned off from the FCP with the fuel system being operated in the Manual Mode. Maintenance checked it and signed it off before we took the aircraft to ZZZ1.