2157957120 has 416 divisors, whose sum is σ = 7850778624. Its totient is φ = 501350400.

The previous prime is 2157957103. The next prime is 2157957121. The reversal of 2157957120 is 217597512.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157957121) 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, 20950989 + ... + 20951091.

It is an arithmetic number, because the mean of its divisors is an integer number (18872064).

Almost surely, 2^2157957120 is an apocalyptic number.

2157957120 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 2157957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925389312).

2157957120 is an abundant number, since it is smaller than the sum of its proper divisors (5692821504).

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

2157957120 is a wasteful number, since it uses less digits than its factorization.

2157957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 39.

The square root of 2157957120 is about 46453.8170659850. The cubic root of 2157957120 is about 1292.2531621854.

The spelling of 2157957120 in words is "two billion, one hundred fifty-seven million, nine hundred fifty-seven thousand, one hundred twenty".