2152509600 has 72 divisors (see below), whose sum is σ = 7006426560. Its totient is φ = 574001920.

The previous prime is 2152509599. The next prime is 2152509607. The reversal of 2152509600 is 69052512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2152509607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 446040 + ... + 450839.

It is an arithmetic number, because the mean of its divisors is an integer number (97311480).

Almost surely, 2^2152509600 is an apocalyptic number.

2152509600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2152509600 is an abundant number, since it is smaller than the sum of its proper divisors (4853916960).

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

2152509600 is a wasteful number, since it uses less digits than its factorization.

2152509600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896902 (or 896889 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 2152509600 is about 46395.1462978618. The cubic root of 2152509600 is about 1291.1648633277.

The spelling of 2152509600 in words is "two billion, one hundred fifty-two million, five hundred nine thousand, six hundred".