2591508741696 has 896 divisors, whose sum is σ = 9448897536000. Its totient is φ = 693795594240.

The previous prime is 2591508741683. The next prime is 2591508741697. The reversal of 2591508741696 is 6961478051952.

2591508741696 is a `hidden beast` number, since 2 + 5 + 9 + 1 + 50 + 87 + 416 + 96 = 666.

2591508741696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2591508741697) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3133625635 + ... + 3133626461.

Almost surely, 2^{2591508741696} 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 2591508741696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724448768000).

2591508741696 is an abundant number, since it is smaller than the sum of its proper divisors (6857388794304).

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

2591508741696 is a wasteful number, since it uses less digits than its factorization.

2591508741696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 2591508741696 in words is "two trillion, five hundred ninety-one billion, five hundred eight million, seven hundred forty-one thousand, six hundred ninety-six".