  Line intensity mapping is a promising probe of the universe's large-scale
structure. We explore the sensitivity of the DSA-2000, a forthcoming array
consisting of over 2000 dishes, to the statistical power spectrum of neutral
hydrogen's 21 cm emission line. These measurements would reveal the
distribution of neutral hydrogen throughout the near-redshift universe without
necessitating resolving individual sources. The success of these measurements
relies on the instrument's sensitivity and resilience to systematics. We show
that the DSA-2000 will have the sensitivity needed to detect the 21 cm power
spectrum at z=0.5 and across power spectrum modes of 0.03-35.12 h/Mpc with 0.1
h/Mpc resolution. We find that supplementing the nominal array design with a
dense core of 200 antennas will expand its sensitivity at low power spectrum
modes and enable measurement of Baryon Acoustic Oscillations (BAOs). Finally,
we present a qualitative discussion of the DSA-2000's unique resilience to
sources of systematic error that can preclude 21 cm intensity mapping.
