E Augmented Major 7th, 2nd inversion (B# in the bass)
Also written as Eaug(maj7)/B#.
Notes, from the bass up
B# (bass)D#EG#
The same notes as E Augmented Major 7th (B#, D#, E and G#), rearranged so B# is the lowest note. Use it to move between chords with smaller jumps across the keyboard.