Flavius Eusebius was a bureaucrat of the Eastern Roman Empire. He was magister officiorum (492-497) under the rule of Anastasius I, and appointed twice consul for Constantinope: once in 489 with Petronius Probinus as his Western counterpart; and again in 493 with Albinus as his counterpart.
The fact he was appointed consul twice suggests he was somehow related to the Emperor Anastatius.
References
Eusebius (consul 489) Wikipedia(Text) CC BY-SA