2971743561696 has 384 divisors, whose sum is σ = 9795669811200. Its totient is φ = 767953704960.

The previous prime is 2971743561679. The next prime is 2971743561713. The reversal of 2971743561696 is 6961653471792.

It is an interprime number because it is at equal distance from previous prime (2971743561679) and next prime (2971743561713).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160287595 + ... + 160306133.

It is an arithmetic number, because the mean of its divisors is an integer number (25509556800).

Almost surely, 2^{2971743561696} is an apocalyptic number.

2971743561696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2971743561696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897834905600).

2971743561696 is an abundant number, since it is smaller than the sum of its proper divisors (6823926249504).

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

2971743561696 is a wasteful number, since it uses less digits than its factorization.

2971743561696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18942 (or 18934 counting only the distinct ones).

The product of its digits is 102876480, while the sum is 66.

The spelling of 2971743561696 in words is "two trillion, nine hundred seventy-one billion, seven hundred forty-three million, five hundred sixty-one thousand, six hundred ninety-six".