2957291520 has 208 divisors, whose sum is σ = 9561845760. Its totient is φ = 780337152.

The previous prime is 2957291459. The next prime is 2957291521. The reversal of 2957291520 is 251927592.

It is not an unprimeable number, because it can be changed into a prime (2957291521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7802691 + ... + 7803069.

Almost surely, 2^2957291520 is an apocalyptic number.

2957291520 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 2957291520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780922880).

2957291520 is an abundant number, since it is smaller than the sum of its proper divisors (6604554240).

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

2957291520 is a wasteful number, since it uses less digits than its factorization.

2957291520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 2957291520 is about 54380.9849120076. The cubic root of 2957291520 is about 1435.3728015208.

The spelling of 2957291520 in words is "two billion, nine hundred fifty-seven million, two hundred ninety-one thousand, five hundred twenty".