  Corrections of orders alpha^5, alpha^6 are calculated in the hyperfine
splitting of the 2S state in the muonic hydrogen. The nuclear structure effects
are taken into account in the one- and two-loop Feynman amplitudes by means of
the proton electromagnetic form factors. Total numerical value of the 2S state
hyperfine splitting 22.8148 meV in the (\mu p) can be considered as reliable
estimation for the corresponding experiment with the accuracy 10^{-5}. The
value of the Sternheim's hyperfine splitting interval [8\Delta
E^{HFS}(2S)-\Delta E^{HFS}(1S)] is obtained with the accuracy 10^{-6}.
