  We study lattice two-color QCD (QC$_2$D) with two flavors of staggered
fermions at imaginary and real quark chemical potential $\mu_q$ and $T>T_c$. We
employ various methods of analytic continuation of the quark number density
from imaginary to real quark chemical potentials $\mu_q$, including series
expansions as well as based on phenomenological models, and study their
accuracy by comparing the results to the lattice data. Below the Roberge-Weiss
temperature, $T<T_{RW}$, we find that the cluster expansion model provides an
accurate analytic continuation of the baryon number density in the studied
range of chemical potentials. On the other hand, the behavior of the
reconstructed canonical partition functions indicate that the available models
may require corrections at high quark densities. At $T>T_{RW}$ we show that the
analytic continuation to the real values of $\mu_q$ based on trigonometric
functions works equally well with the conventional method based on the Taylor
expansion in powers of $\mu_q$.
