Catalyzes the hydrolysis of ATP coupled with the transport of calcium from the cytoplasm to the extracellular space thereby maintaining intracellular calcium homeostasis. ATP + Ca(2+)(in) + H2O = ADP + Ca(2+)(out) + H(+) + phosphate By vitamin D and 1,25-dihydroxyvitamin D3, and by calcium and phosphorous deficiency. Belongs to the cation transport ATPase (P-type) (TC 3.A.3) family. Type IIB subfamily.