2157337824 has 192 divisors, whose sum is σ = 6141542400. Its totient is φ = 661022208.

The previous prime is 2157337823. The next prime is 2157337841. The reversal of 2157337824 is 4287337512.

It is a happy number.

It is a super-2 number, since 2×2157337824² = 9308212973722109952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157337823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15520347 + ... + 15520485.

It is an arithmetic number, because the mean of its divisors is an integer number (31987200).

Almost surely, 2^2157337824 is an apocalyptic number.

2157337824 is a gapful number since it is divisible by the number (24) 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 2157337824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070771200).

2157337824 is an abundant number, since it is smaller than the sum of its proper divisors (3984204576).

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

2157337824 is a wasteful number, since it uses less digits than its factorization.

2157337824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 357 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 2157337824 is about 46447.1508706401. The cubic root of 2157337824 is about 1292.1295323296.

The spelling of 2157337824 in words is "two billion, one hundred fifty-seven million, three hundred thirty-seven thousand, eight hundred twenty-four".