2957067864 has 128 divisors (see below), whose sum is σ = 8594035200. Its totient is φ = 940325760.

The previous prime is 2957067859. The next prime is 2957067889. The reversal of 2957067864 is 4687607592.

2957067864 is a `hidden beast` number, since 2 + 9 + 570 + 6 + 7 + 8 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2957067864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3044899 + ... + 3045869.

It is an arithmetic number, because the mean of its divisors is an integer number (67140900).

Almost surely, 2^2957067864 is an apocalyptic number.

2957067864 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 2957067864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297017600).

2957067864 is an abundant number, since it is smaller than the sum of its proper divisors (5636967336).

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

2957067864 is a wasteful number, since it uses less digits than its factorization.

2957067864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 2957067864 is about 54378.9284925696. The cubic root of 2957067864 is about 1435.3366155005.

The spelling of 2957067864 in words is "two billion, nine hundred fifty-seven million, sixty-seven thousand, eight hundred sixty-four".