We report on magnetization experiments from which we obtain the field-induced kinetic energy density, E k , in the superconducting phase of several Bi2Sr2CaCu2O 8+δ single crystal samples. The kinetic energy magnitude changes according to the characteristic reduction of the single-electron density of states produced by the pseudogap in the underdoped limit. Moreover, a remarkable peak of E k occurring at the specific holes density p ∼ 0.18 is related to a van Hove singularity due to the pseudogap closure.We also extracted the superfluid density, ρs.We conclude that E k and ρs are related to the pseudogap energy scale. This result is understood as an evidence of the coexistence between superconductivity and the pseudogap phenomenon in the Bi2Sr2CaCu2O 8+δ cuprate compound.