2723971308696 has 576 divisors, whose sum is σ = 9138016742400. Its totient is φ = 756736992000.

The previous prime is 2723971308679. The next prime is 2723971308701. The reversal of 2723971308696 is 6968031793272.

2723971308696 is a `hidden beast` number, since 2 + 7 + 239 + 7 + 1 + 308 + 6 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 138537106 + ... + 138556766.

It is an arithmetic number, because the mean of its divisors is an integer number (15864612400).

Almost surely, 2^{2723971308696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2723971308696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569008371200).

2723971308696 is an abundant number, since it is smaller than the sum of its proper divisors (6414045433704).

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

2723971308696 is a wasteful number, since it uses less digits than its factorization.

2723971308696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19754 (or 19727 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 2723971308696 in words is "two trillion, seven hundred twenty-three billion, nine hundred seventy-one million, three hundred eight thousand, six hundred ninety-six".