store has 17 distinct synonyms spread across 5 of its 6 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
a mercantile establishment for the retail sale of goods or services
“he bought it at a shop on Cape Cod”
a supply of something available for future use
“he brought back a large store of Cuban cigars”
an electronic memory device
“a memory and the CPU form the central part of a computer to which peripherals are attached”
a depository for goods
“storehouses were built close to the docks”
Synonyms, antonyms and the broader and narrower relations for store come from Princeton University’s WordNet. Full sources and licences.