Corrections of orders alpha(5) and 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. The total numerical value of the 2S state hyperfine splitting in the muonic hydrogen is 22.8148 meV. This value can be considered as a reliable estimate in conducting a corresponding experiment with an accuracy 10(-5). The value of the Sternheim hyperfine splitting interval [8DeltaE(HFS)(2S)-DeltaE(HFS)(1S)] is obtained with an accuracy 10(-6).
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