A ball screw includes a spindle element which has a first groove arrangement on an outer circumferential surface, a nut element which surrounds the spindle element and has a second groove arrangement on an inner circumferential surface, and a plurality of balls, at least some of which engage into the first groove arrangement and the second groove arrangement. The nut element is rotatable about an axis of rotation with respect to the spindle element, and, during the rotation of the nut element about the axis of rotation with respect to the spindle element, the balls which engage into the first groove arrangement and the second groove arrangement roll in the first and the second groove arrangement, while at the same time rotate about respective ball axes of rotation. In this case, there is provision, with respect to the ball axis of rotation, for an effective ball rolling radius with which the balls roll in the first groove arrangement to be smaller than the effective ball rolling radius with which the balls roll in the second groove arrangement.