  Measurements of prompt $\psi$(2S) meson production cross sections in
proton-lead (pPb) and proton-proton (pp) collisions at a nucleon-nucleon
center-of-mass energy of $\sqrt{s_{_\mathrm{NN}}} =$ 5.02 TeV are reported. The
results are based on pPb and pp data collected by the CMS experiment at the
LHC, corresponding to integrated luminosities of 34.6 nb$^{-1}$ and 28.0
pb$^{-1}$, respectively. The nuclear modification factor $R_\mathrm{pPb}$ is
measured for prompt $\psi$(2S) in the transverse momentum range 4 $<$
p$_\mathrm{T}$ $<$ 30 GeV$/c$ and the center-of-mass rapidity range $-$2.4 $<
y_\mathrm{cm} <$ 1.93. The results on $\psi$(2S) $R_\mathrm{pPb}$ are compared
to the corresponding modification factor for prompt J$/\psi$ mesons. The
results point to different nuclear effects at play in the production of the
excited charmonium state compared to the ground state, in the region of
backward rapidity and for p$_\mathrm{T}$ $<$ 10 GeV$/c$.
