2966109403264 has 64 divisors (see below), whose sum is σ = 6910246664640. Its totient is φ = 1241627175936.

The previous prime is 2966109403241. The next prime is 2966109403273. The reversal of 2966109403264 is 4623049016692.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2966109403264² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38454379 + ... + 38531434.

It is an arithmetic number, because the mean of its divisors is an integer number (107972604135).

Almost surely, 2^{2966109403264} is an apocalyptic number.

It is an amenable number.

2966109403264 is an abundant number, since it is smaller than the sum of its proper divisors (3944137261376).

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

2966109403264 is an equidigital number, since it uses as much as digits as its factorization.

2966109403264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76985877 (or 76985865 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 52.

The spelling of 2966109403264 in words is "two trillion, nine hundred sixty-six billion, one hundred nine million, four hundred three thousand, two hundred sixty-four".