2964249676512 has 96 divisors (see below), whose sum is σ = 8787461628960. Its totient is φ = 971885122560.

The previous prime is 2964249676481. The next prime is 2964249676541. The reversal of 2964249676512 is 2156769424692.

2964249676512 is a `hidden beast` number, since 2 + 9 + 6 + 4 + 2 + 49 + 6 + 76 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2964249676512² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2964249676512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28068973 + ... + 28174380.

It is an arithmetic number, because the mean of its divisors is an integer number (91536058635).

Almost surely, 2^{2964249676512} is an apocalyptic number.

It is an amenable number.

2964249676512 is an abundant number, since it is smaller than the sum of its proper divisors (5823211952448).

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

2964249676512 is a wasteful number, since it uses less digits than its factorization.

2964249676512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56243433 (or 56243419 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 2964249676512 in words is "two trillion, nine hundred sixty-four billion, two hundred forty-nine million, six hundred seventy-six thousand, five hundred twelve".