Every fingering that fits a hand
x311
easy
8566
hard
8568
hard
856x
easy
8ab8
moderate · barre
What is true of it
D♯sus2 is D♯, E♯ and A♯ — 1, 2 and 5 counted from D♯.
These are also the notes of A♯sus4/D♯ and B♭sus4/D♯. Which name is right depends on what is underneath and what came before — the notes alone do not decide.
The easiest of the 5 fingerings below is x311: 3 fingers, held at the 1st fret.
None of them uses an open string, so this chord moves up the neck unchanged — the same shape 1 fret higher is the chord a semitone above.
1 of the 5 need a barre.
1 string stays silent.
Where its notes are on the neck
The brass dots are D♯, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
D♯sus2/E♯
x566
D♯sus2/A♯
3311
An inversion is the same chord with a different note lowest. The name changes to a slash name because the bass is what a listener hears as the foundation.