Two-dimensional electron gases with very high mobility show a huge or giant negative magnetoresistance at low temperatures and low magnetic fields. We present an experimental and theoretical work on the influence of the applied current on the negative huge magnetoresistance of these systems. We obtain an unexpected and strong nonlinear behavior consisting in an increase of the negative huge magnetoresistance with increasing current, in other words, for increasing current the magnetoresistance collapses at small magnetic fields. This nonlinearity is explained by the subtle interplay of elastic scattering within Landau levels and between Landau levels. This work was financially supported by the Cluster of Excellence QUEST. JI is supported by the MCYT (Spain) under grant MAT2014-58241-P and ITN Grant 234970 (EU). GRUPO DE MATEMATICAS APLICADAS A LA MATERIA CONDENSADA, (UC3M), Unidad Asociada al CSIC.