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”
keep or lay aside for future use
“store grain for the winter”
Synonyms, antonyms and the broader and narrower relations for store come from Princeton University’s WordNet. Full sources and licences.