We perform the stastistics of temperature maxima and minima in COBE-DMR 2-year maps. For power-law spectra the surface distribution of peaks implies an amplitude consistent with more conventional analyses of COBE data (for instance, we get $ Q_ {{\rm rms-PS}}= 17\pm 3\\mu $ K for a spectral index $% n= 1), $ but not with the measured quadrupole $ Q_ {{\rm rms}}= 6\pm 3\\mu $ K. This provides further support for the existence an infrared cutoff in the cosmic spectrum.