2957238720 has 280 divisors, whose sum is σ = 10583314368. Its totient is φ = 783820800.

The previous prime is 2957238667. The next prime is 2957238733. The reversal of 2957238720 is 278327592.

2957238720 is a `hidden beast` number, since 2 + 9 + 572 + 3 + 8 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7024110 + ... + 7024530.

Almost surely, 2^2957238720 is an apocalyptic number.

2957238720 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 2957238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291657184).

2957238720 is an abundant number, since it is smaller than the sum of its proper divisors (7626075648).

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

2957238720 is a wasteful number, since it uses less digits than its factorization.

2957238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2957238720 is about 54380.4994460330. The cubic root of 2957238720 is about 1435.3642590043.

The spelling of 2957238720 in words is "two billion, nine hundred fifty-seven million, two hundred thirty-eight thousand, seven hundred twenty".