2976905087641 has 27 divisors (see below), whose sum is σ = 3189198475413. Its totient is φ = 2778330413880.

The previous prime is 2976905087549. The next prime is 2976905087713. The reversal of 2976905087641 is 1467805096792.

The square root of 2976905087641 is 1725371.

It is a perfect power (a square), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2^k-2976905087641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2976905087341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2327524840 + ... + 2327526118.

Almost surely, 2^{2976905087641} is an apocalyptic number.

2976905087641 is the 1725371-st square number.

2976905087641 is the 862686-th centered octagonal number.

It is an amenable number.

2976905087641 is a deficient number, since it is larger than the sum of its proper divisors (212293387772).

2976905087641 is an frugal number, since it uses more digits than its factorization.

2976905087641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 64.

Multiplying 2976905087641 by its sum of digits (64), we get a square (190521925609024 = 13802968²).

The spelling of 2976905087641 in words is "two trillion, nine hundred seventy-six billion, nine hundred five million, eighty-seven thousand, six hundred forty-one".