2657157120 has 408 divisors, whose sum is σ = 9937278936. Its totient is φ = 654311424.

The previous prime is 2657157091. The next prime is 2657157121. The reversal of 2657157120 is 217517562.

2657157120 is a `hidden beast` number, since 2 + 65 + 7 + 1 + 571 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 807469056 + 1849688064 = 28416^2 + 43008^2 .

It is a tau number, because it is divible by the number of its divisors (408).

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

It is not an unprimeable number, because it can be changed into a prime (2657157121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50135014 + ... + 50135066.

Almost surely, 2^2657157120 is an apocalyptic number.

2657157120 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 2657157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968639468).

2657157120 is an abundant number, since it is smaller than the sum of its proper divisors (7280121816).

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

2657157120 is an equidigital number, since it uses as much as digits as its factorization.

2657157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 2657157120 is about 51547.6199256571. The cubic root of 2657157120 is about 1385.0721975336.

The spelling of 2657157120 in words is "two billion, six hundred fifty-seven million, one hundred fifty-seven thousand, one hundred twenty".