Denisyuk's pseudo-deep holograms exhibit angular and wavelength selectivity comparable to three-dimensional holograms. In a recent paper, Lohmann and Arrizon have derived a formula for the angular selectivity. We show that there are three ways of multiplexing data on pseudo-deep holograms: angular, wavelength and hologram tilt. Although combinations of these schemes do not increase the data storage limit of a two-dimensional medium, the fact that the data may be stored in a pseudo-deep hologram in a large variety of ways may be of interest in the design of optical storage using planar architectures.