2956874544 has 240 divisors, whose sum is σ = 9731321600. Its totient is φ = 861643008.

The previous prime is 2956874527. The next prime is 2956874561. The reversal of 2956874544 is 4454786592.

2956874544 is a `hidden beast` number, since 2 + 9 + 568 + 74 + 5 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2956874527) and next prime (2956874561).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958797 + ... + 961875.

Almost surely, 2^2956874544 is an apocalyptic number.

2956874544 is a gapful number since it is divisible by the number (24) 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 2956874544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865660800).

2956874544 is an abundant number, since it is smaller than the sum of its proper divisors (6774447056).

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

2956874544 is a wasteful number, since it uses less digits than its factorization.

2956874544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3116 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 2956874544 is about 54377.1509367675. The cubic root of 2956874544 is about 1435.3053361686.

The spelling of 2956874544 in words is "two billion, nine hundred fifty-six million, eight hundred seventy-four thousand, five hundred forty-four".