EMB-190 Captain reported a BLEED 2 FAIL EICAS Message during cruise. The flight crew ran the QRH and check list and began to descend due to the Cabin Altitude beginning to climb. Oxygen masks were donned and the flight continued to destination airport at 10;000 feet.

Narrative

This was a Captain OE pairing and I was acting as Captain. We were dispatched with Engine Bleed 1 Inoperative and Engine Anti-Ice Valves Secured Open. At FL270 we experienced a BLEED 2 FAIL EICAS Message. We began to run the BLEED 1(2) FAIL QRH and requested a lower altitude as we began to depressurize. We started the APU and [requested priority handling] to ATC as we requested a further descent to 10;000 feet; and donned our oxygen masks. The cabin continued to climb and we eventually got a CABIN ALTITUDE HI EICAS Warning Message and Triple Chime. Additionally; we got a SPOILER FAIL EICAS Message during our expedited descent with full spoilers. The APU did not begin to provide Bleed Air until approximately 11;000-12;000 feet. We leveled at 10;000 feet and the cabin slowly began to recover and pressurize normally. We remained at 10;000 feet and continued to land at ZZZ uneventfully. Cabin altitude never exceeded 14;000 feet as we started descending soon after the BLEED 2 FAIL EICAS message. FLT CTRL NO DISP EICAS message was displayed upon landing.