Geetanjali is from the Sanskrit गीतांजलि (Gītāñjali — gīta song + añjali offering of folded palms — song offerings, offering of songs). Geetanjali is one of the Sanskrit feminine names — central to traditional Bengali + Hindu heritage. B.
Geetanjali 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 Geetanjali reduce to 3, The Communicator. This is a traditional interpretive system, not a factual claim about the name.