The standard grips this chord is usually shown with.
Csus2 is C, D and G, a suspended second. The shape this page opens on is written x30013, lowest string first.

Also written C2 or C suspended 2nd. The same chord either way; which spelling you meet depends on who wrote the chart.
There are 10 common shapes for Csus2 on the guitar, and 50 derived voicings in 2 families.
In which keys. Every note of Csus2 belongs to C major (the I), C minor (the i), D minor (the ♭VII), Eb major (the vi), E minor (the ♭VI), F major (the V), G major (the IV), G minor (the iv), A minor (the ♭III) and Bb major (the ii).
The common shapes, written lowest string first: x30013, x30033, x35533, 85578x, x55588, 8x0788, 8-10-10-x-8-10, x-x-10-12-13-10, x-15-12-12-13-15, x-x-12-12-13-15.
Triad. Three notes across one string set. Csus2 has xx001x, x3001x, xx0013, x300xx, xxx533, 330xxx, xx553x, x3003x.
Open string. An open string left ringing against a fretted grip. Because it costs no finger, it sounds a note the closed shape has none left for -- a tension on top, or a pedal root underneath. Either a familiar grip with open strings added, or a shape so sparse the open strings carry the chord. These belong to their key rather than to a shape, so D, A, G and E have many and Eb a handful. Csus2 has 3300xx.
The common shapes and the derived voicings come from different places, and both are explained in where the chords and the theory come from.
Shows each chord the way this style would voice it, and marks which of its alternatives belong to the idiom.