2597493764268 has 288 divisors, whose sum is σ = 7674600460800. Its totient is φ = 734527180800.

The previous prime is 2597493764197. The next prime is 2597493764273. The reversal of 2597493764268 is 8624673947952.

2597493764268 is a `hidden beast` number, since 2 + 5 + 9 + 7 + 493 + 76 + 4 + 2 + 68 = 666.

It is a super-2 number, since 2×2597493764268² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2597493764196 and 2597493764205.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25614048 + ... + 25715256.

Almost surely, 2^{2597493764268} 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 2597493764268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837300230400).

2597493764268 is an abundant number, since it is smaller than the sum of its proper divisors (5077106696532).

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

2597493764268 is a wasteful number, since it uses less digits than its factorization.

2597493764268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101353 (or 101348 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 2597493764268 in words is "two trillion, five hundred ninety-seven billion, four hundred ninety-three million, seven hundred sixty-four thousand, two hundred sixty-eight".