2152330400 has 72 divisors (see below), whose sum is σ = 5732070624. Its totient is φ = 782662400.

The previous prime is 2152330379. The next prime is 2152330447. The reversal of 2152330400 is 40332512.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113492 + ... + 131091.

It is an arithmetic number, because the mean of its divisors is an integer number (79612092).

Almost surely, 2^2152330400 is an apocalyptic number.

2152330400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2152330400 is an abundant number, since it is smaller than the sum of its proper divisors (3579740224).

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

2152330400 is a wasteful number, since it uses less digits than its factorization.

2152330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244614 (or 244601 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2152330400 is about 46393.2150211645. The cubic root of 2152330400 is about 1291.1290317934.

Adding to 2152330400 its reverse (40332512), we get a palindrome (2192662912).

The spelling of 2152330400 in words is "two billion, one hundred fifty-two million, three hundred thirty thousand, four hundred".