2957986080 has 384 divisors, whose sum is σ = 12243571200. Its totient is φ = 652603392.

The previous prime is 2957986079. The next prime is 2957986081. The reversal of 2957986080 is 806897592.

It is a happy number.

2957986080 is a `hidden beast` number, since 2 + 9 + 579 + 8 + 60 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2957986079) and next prime (2957986081).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2957986081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 875274 + ... + 878646.

It is an arithmetic number, because the mean of its divisors is an integer number (31884300).

Almost surely, 2^2957986080 is an apocalyptic number.

2957986080 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 2957986080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121785600).

2957986080 is an abundant number, since it is smaller than the sum of its proper divisors (9285585120).

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

2957986080 is a wasteful number, since it uses less digits than its factorization.

2957986080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 2957986080 is about 54387.3705928132. The cubic root of 2957986080 is about 1435.4851649776.

The spelling of 2957986080 in words is "two billion, nine hundred fifty-seven million, nine hundred eighty-six thousand, eighty".