NGC 2419 is the most distant massive globular cluster in the outer Galactic halo . It is unusual also due to the chemical peculiarities found in its red giant stars in recent years . We study the stellar population of this unusual object using spectra obtained at the 1.93-m telescope of the Haute-Provence Observatory . At variance with commonly used methods of high-resolution spectroscopy applicable only to bright stars , we employ spectroscopic information on the integrated light of the cluster . We carry out population synthesis modeling of medium-resolution spectra using synthetic stellar atmosphere models based on a theoretical isochrone corresponding accurately to the observed color-magnitude diagram . We study the influence of non-Local Thermodynamic Equilibrium for some chemical elements on our results . The derived age ( 12.6 Gyr ) , [ Fe/H ] =-2.25 dex , helium content Y=0.25 , and abundances of 12 other chemical elements are in a good qualitative agreement with published high-resolution spectroscopy estimates for red giant members in the cluster . On the other hand , the derived element abundance , [ \alpha / Fe ] = 0.13 dex ( the mean of [ O / Fe ] , [ Mg / Fe ] and [ Ca / Fe ] ) , differs from the published one ( [ \alpha / Fe ] = 0.4 dex ) for selected red giants in the cluster and may be explained by a large dispersion in the \alpha -element abundances recently discovered in NGC 2419 . We suggest that studies of the integrated light in the cluster using high-resolution spectrographs in different wavelength regions will help to understand the nature of these chemical anomalies .