2501604807936 has 864 divisors, whose sum is σ = 8002208000640. Its totient is φ = 687630974976.

The previous prime is 2501604807859. The next prime is 2501604807967. The reversal of 2501604807936 is 6397084061052.

It is a super-2 number, since 2×2501604807936² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 9733870720 + ... + 9733870976.

It is a 1-persistent number, because it is pandigital, but 2⋅2501604807936 = 5003209615872 is not.

Almost surely, 2^{2501604807936} is an apocalyptic number.

2501604807936 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 2501604807936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001104000320).

2501604807936 is an abundant number, since it is smaller than the sum of its proper divisors (5500603192704).

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

2501604807936 is a wasteful number, since it uses less digits than its factorization.

2501604807936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

Adding to 2501604807936 its reverse (6397084061052), we get a palindrome (8898688868988).

The spelling of 2501604807936 in words is "two trillion, five hundred one billion, six hundred four million, eight hundred seven thousand, nine hundred thirty-six".