2957942974608 has 160 divisors (see below), whose sum is σ = 8518560233600. Its totient is φ = 982715328000.

The previous prime is 2957942974577. The next prime is 2957942974643. The reversal of 2957942974608 is 8064792497592.

2957942974608 is a `hidden beast` number, since 2 + 9 + 5 + 7 + 9 + 4 + 2 + 9 + 7 + 4 + 608 = 666.

It is a super-3 number, since 3×2957942974608³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165692883 + ... + 165710733.

It is an arithmetic number, because the mean of its divisors is an integer number (53241001460).

Almost surely, 2^{2957942974608} 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 2957942974608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259280116800).

2957942974608 is an abundant number, since it is smaller than the sum of its proper divisors (5560617258992).

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

2957942974608 is a wasteful number, since it uses less digits than its factorization.

2957942974608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19118 (or 19106 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 2957942974608 in words is "two trillion, nine hundred fifty-seven billion, nine hundred forty-two million, nine hundred seventy-four thousand, six hundred eight".