2152396800 has 432 divisors, whose sum is σ = 8040188520. Its totient is φ = 570654720.

The previous prime is 2152396789. The next prime is 2152396801. The reversal of 2152396800 is 86932512.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152396801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12441514 + ... + 12441686.

Almost surely, 2^2152396800 is an apocalyptic number.

2152396800 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 2152396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020094260).

2152396800 is an abundant number, since it is smaller than the sum of its proper divisors (5887791720).

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

2152396800 is an equidigital number, since it uses as much as digits as its factorization.

2152396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2152396800 is about 46393.9306375306. The cubic root of 2152396800 is about 1291.1423088885.

The spelling of 2152396800 in words is "two billion, one hundred fifty-two million, three hundred ninety-six thousand, eight hundred".