The LINER galaxy NGC 2639 contains a water vapor megamaser, suggesting the
presence of a nuclear accretion disk or torus viewed close to edge-on. This
galaxy is thus a good candidate for revealing absorption by the torus of a
ny compact nuclear continuum emission. In this paper, we report VLBA radio
maps at three frequencies and an ASCA X-ray spectrum obtained to search for
free-free and photoelectric absorptions, respectively. The radio observati
ons reveal a compact (<0.2 pc) nuclear source with a spectrum that turns ov
er sharply near 5 GHz. This turnover may reflect either synchrotron self-ab
sorption or free-free absorption. The galaxy is detected by ASCA with an ob
served luminosity of 1.4 x 10(41) ergs s(-1) in the 0.6-10 keV band. The X-
ray spectrum shows emission in excess of a power-law model at energies grea
ter than 4 keV; we interpret this excess as compact, nuclear, hard X-ray em
ission with the lower energies photoelectrically absorbed by an equivalent
hydrogen column of similar or equal to 5 x 10(23) cm(-2). If we assume that
the turnover in the radio spectrum is caused by free-free absorption and t
hat both the free-free and photoelectric absorptions are produced by the sa
me gaseous component, the ratio integral n(e)(2) dl/integral n(H)dl may be
determined. If the masing molecular gas is responsible for both absorptions
, the required ionization fraction is greater than or similar to 1.3 x 10(-
5), which is comparable to the theoretical upper limit derived by Neufeld,
Maloney, and Conger for X-ray heated molecular gas. The two values may be r
econciled if the molecular gas is very dense: n(H2) greater than or similar
to 10(9) cm(-3). The measured ionization fraction is also consistent with
the idea that both absorptions occur in a hot (similar to 6000 K), weakly i
onized (ionization fraction a few times 10(-2)) atomic region that may coex
ist with the warm molecular gas. If this is the case, the absorbing gas is
similar to 1 pc from the nucleus. We rule out the possibility that both abs
orptions occur in a fully ionized gas near 10(4) K. If our line of sight pa
sses through more than one phase, the atomic gas probably dominates the fre
e-free absorption, while the molecular gas may dominate the photoelectric a
bsorption.