2971424409696 has 72 divisors (see below), whose sum is σ = 8450360001720. Its totient is φ = 990431218176.

The previous prime is 2971424409683. The next prime is 2971424409721. The reversal of 2971424409696 is 6969044241792.

2971424409696 is a `hidden beast` number, since 2 + 9 + 7 + 14 + 2 + 440 + 96 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 6694975 + ... + 7124993.

It is an arithmetic number, because the mean of its divisors is an integer number (117366111135).

Almost surely, 2^{2971424409696} is an apocalyptic number.

It is an amenable number.

2971424409696 is an abundant number, since it is smaller than the sum of its proper divisors (5478935592024).

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

2971424409696 is a wasteful number, since it uses less digits than its factorization.

2971424409696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454028 (or 454017 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 2971424409696 in words is "two trillion, nine hundred seventy-one billion, four hundred twenty-four million, four hundred nine thousand, six hundred ninety-six".