2027792900 has 36 divisors (see below), whose sum is σ = 5028928128. Its totient is φ = 695243040.

The previous prime is 2027792887. The next prime is 2027792911. The reversal of 2027792900 is 92977202.

It is a super-2 number, since 2×2027792900² = 8223888090580820000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1447724 + ... + 1449123.

It is an arithmetic number, because the mean of its divisors is an integer number (139692448).

Almost surely, 2^2027792900 is an apocalyptic number.

2027792900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2027792900 is an abundant number, since it is smaller than the sum of its proper divisors (3001135228).

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

2027792900 is a wasteful number, since it uses less digits than its factorization.

2027792900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896868 (or 2896861 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 2027792900 is about 45031.0215296078. The cubic root of 2027792900 is about 1265.7303660894.

The spelling of 2027792900 in words is "two billion, twenty-seven million, seven hundred ninety-two thousand, nine hundred".