2959761904072 has 64 divisors (see below), whose sum is σ = 5995038614400. Its totient is φ = 1364785751040.

The previous prime is 2959761904063. The next prime is 2959761904081. The reversal of 2959761904072 is 2704091679592.

It is an interprime number because it is at equal distance from previous prime (2959761904063) and next prime (2959761904081).

It is a super-3 number, since 3×2959761904072³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a self number, because there is not a number n which added to its sum of digits gives 2959761904072.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1503579 + ... + 2860117.

It is an arithmetic number, because the mean of its divisors is an integer number (93672478350).

Almost surely, 2^{2959761904072} is an apocalyptic number.

It is an amenable number.

2959761904072 is an abundant number, since it is smaller than the sum of its proper divisors (3035276710328).

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

2959761904072 is a wasteful number, since it uses less digits than its factorization.

2959761904072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356886 (or 1356882 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 61.

The spelling of 2959761904072 in words is "two trillion, nine hundred fifty-nine billion, seven hundred sixty-one million, nine hundred four thousand, seventy-two".