2152313200 has 60 divisors (see below), whose sum is σ = 5187754768. Its totient is φ = 858124800.

The previous prime is 2152313197. The next prime is 2152313227. The reversal of 2152313200 is 23132512.

It is a super-2 number, since 2×2152313200² = 9264904221788480000, which contains 22 as substring.

It is a congruent number.

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, 116605 + ... + 133795.

Almost surely, 2^2152313200 is an apocalyptic number.

2152313200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593877384).

2152313200 is an abundant number, since it is smaller than the sum of its proper divisors (3035441568).

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

2152313200 is a wasteful number, since it uses less digits than its factorization.

2152313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17522 (or 17511 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2152313200 is about 46393.0296488600. The cubic root of 2152313200 is about 1291.1255925014.

Adding to 2152313200 its reverse (23132512), we get a palindrome (2175445712).

The spelling of 2152313200 in words is "two billion, one hundred fifty-two million, three hundred thirteen thousand, two hundred".