Eurynome (Εὐρυνόμη) combines the Greek eurys (wide) and nomos (pasture, range) — "wide-roaming." An Oceanid daughter of Oceanus and Tethys — mother of the Three Graces (Charites) by Zeus.
In some traditions, the pre-Olympian creator goddess who danced upon the waters of chaos.
Eurynome does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Eurynome reduce to 8, The Visionary. This is a traditional interpretive system, not a factual claim about the name.