2076624900 has 405 divisors, whose sum is σ = 7846309653. Its totient is φ = 459345600.

The previous prime is 2076624857. The next prime is 2076624911. The reversal of 2076624900 is 94266702.

It is a happy number.

The square root of 2076624900 is 45570.

It is a perfect power (a square), and thus also a powerful number.

2076624900 is a `hidden beast` number, since 20 + 7 + 6 + 624 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 747584964 + 1329039936 = 27342^2 + 36456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 66987885 + ... + 66987915.

Almost surely, 2^2076624900 is an apocalyptic number.

2076624900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2076624900 is the 45570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2076624900

2076624900 is an abundant number, since it is smaller than the sum of its proper divisors (5769684753).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2076624900 is a wasteful number, since it uses less digits than its factorization.

2076624900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The cubic root of 2076624900 is about 1275.8100504060.

Multiplying 2076624900 by its sum of digits (36), we get a square (74758496400 = 273420²).

2076624900 divided by its sum of digits (36) gives a square (57684025 = 7595²).

The spelling of 2076624900 in words is "two billion, seventy-six million, six hundred twenty-four thousand, nine hundred".