Every fingering that fits a hand
6344
hard
6346
hard
634x
easy
6896
moderate · barre
What is true of it
C♯sus2 is C♯, D♯ and G♯ — 1, 2 and 5 counted from C♯.
These are also the notes of G♯sus4/C♯ and A♭sus4/C♯. Which name is right depends on what is underneath and what came before — the notes alone do not decide.
The easiest of the 4 fingerings below is 6344: 4 fingers, held at the 3rd 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 4 need a barre.
Where its notes are on the neck
The brass dots are C♯, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
C♯sus2/D♯
x344
C♯sus2/G♯
1344
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.