Doppler-free two-photon spectroscopy has been used to investigate the transitions n2S ← 62S (n = 9 to 54) and n2D3/2.5/2 ← 62S (n = 7 to 53), and saturated absorption for the quadrupole transitions 52D3/2.5/2 ← 62S. Wavelengths of these transitions have been measured to an accuracy of 1 part in 107, and term values, quantum defects, and fine structure splittings evaluated. Series formulae have been used with the term values to obtain the ionization limit 31406.6376 ± 0.0016 cm−1.