2974151005056 has 1024 divisors, whose sum is σ = 11801631744000. Its totient is φ = 713948774400.

The previous prime is 2974151005013. The next prime is 2974151005099. The reversal of 2974151005056 is 6505001514792.

It is a happy number.

2974151005056 is a `hidden beast` number, since 2 + 97 + 4 + 1 + 51 + 0 + 0 + 505 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2974151005013) and next prime (2974151005099).

It is a super-2 number, since 2×2974151005056² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 207294075 + ... + 207308421.

It is an arithmetic number, because the mean of its divisors is an integer number (11525031000).

Almost surely, 2^{2974151005056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2974151005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5900815872000).

2974151005056 is an abundant number, since it is smaller than the sum of its proper divisors (8827480738944).

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

2974151005056 is a wasteful number, since it uses less digits than its factorization.

2974151005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14448 (or 14430 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 2974151005056 in words is "two trillion, nine hundred seventy-four billion, one hundred fifty-one million, five thousand, fifty-six".