2157591360 has 448 divisors, whose sum is σ = 7783372800. Its totient is φ = 503635968.

The previous prime is 2157591347. The next prime is 2157591407. The reversal of 2157591360 is 631957512.

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 63 ways as a sum of consecutive naturals, for example, 15522171 + ... + 15522309.

It is an arithmetic number, because the mean of its divisors is an integer number (17373600).

Almost surely, 2^2157591360 is an apocalyptic number.

2157591360 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 2157591360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891686400).

2157591360 is an abundant number, since it is smaller than the sum of its proper divisors (5625781440).

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

2157591360 is a wasteful number, since it uses less digits than its factorization.

2157591360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 2157591360 is about 46449.8800859593. The cubic root of 2157591360 is about 1292.1801484975.

The spelling of 2157591360 in words is "two billion, one hundred fifty-seven million, five hundred ninety-one thousand, three hundred sixty".