2157650400 has 144 divisors (see below), whose sum is σ = 7041299328. Its totient is φ = 573888000.

The previous prime is 2157650377. The next prime is 2157650423. The reversal of 2157650400 is 40567512.

It is an interprime number because it is at equal distance from previous prime (2157650377) and next prime (2157650423).

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

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 23 ways as a sum of consecutive naturals, for example, 1177485 + ... + 1179315.

It is an arithmetic number, because the mean of its divisors is an integer number (48897912).

Almost surely, 2^2157650400 is an apocalyptic number.

2157650400 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 2157650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520649664).

2157650400 is an abundant number, since it is smaller than the sum of its proper divisors (4883648928).

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

2157650400 is a wasteful number, since it uses less digits than its factorization.

2157650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 2157650400 is about 46450.5156053192. The cubic root of 2157650400 is about 1292.1919347300.

The spelling of 2157650400 in words is "two billion, one hundred fifty-seven million, six hundred fifty thousand, four hundred".