Eunwoo is from the Korean eun (은 — silver / grace) + woo (우 — universe / refined). K-pop visual tradition. Also widely known: Cha Eun-woo (ASTRO K-pop visual + actor + My ID Is Gangnam Beauty 2018 JTBC + True Beauty 2020 tvN + A Good Day to Be a Dog 2023).
Eunwoo 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 Eunwoo reduce to 3, The Communicator. This is a traditional interpretive system, not a factual claim about the name.