A compound Greek verb meaning to rest upon, to rely on, to take repose in something as a support. From epi (upon) and anapauomai (to rest/refresh). Used in Luke 10:6 for peace "resting upon" a worthy house, and in Romans 2:17 for the Jew who "relies upon" the law.
The image of peace "resting upon" a household (Luke 10:6) carries tremendous eschatological weight. Jesus sends His disciples as emissaries of shalom — and where they are welcomed, divine peace epanapauomai descends and dwells. Paul's ironic use in Romans 2:17 — where the Jew "rests" on the law while breaking it — exposes the danger of resting on religious identity rather than on God Himself. The true resting place is Christ: "Come to me, all who are weary and burdened, and I will give you rest" (Matthew 11:28). In Him alone can the soul find its anapausis.