Shambhavi is from the Sanskrit शाम्भवी (Śāmbhavī — born of Shambhu, consort of Shambhu) — from Sanskrit Shambhu (the auspicious one — epithet of Shiva). Shambhavi is one of the Sanskrit feminine names — central to traditional Hindu Shaiva heritage. Sanskrit feminine name reflecting Hindu Shaiva heritage.
Shambhavi 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.
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In Pythagorean numerology the letters of Shambhavi reduce to 2, The Peacemaker. This is a traditional interpretive system, not a factual claim about the name.