2568004567040 has 400 divisors, whose sum is σ = 7073810925696. Its totient is φ = 893218979840.

The previous prime is 2568004567019. The next prime is 2568004567061. The reversal of 2568004567040 is 407654008652.

It is an interprime number because it is at equal distance from previous prime (2568004567019) and next prime (2568004567061).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111652372469 + ... + 111652372491.

Almost surely, 2^{2568004567040} is an apocalyptic number.

2568004567040 is a gapful number since it is divisible by the number (20) 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 2568004567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536905462848).

2568004567040 is an abundant number, since it is smaller than the sum of its proper divisors (4505806358656).

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

2568004567040 is an frugal number, since it uses more digits than its factorization.

2568004567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 47.

The spelling of 2568004567040 in words is "two trillion, five hundred sixty-eight billion, four million, five hundred sixty-seven thousand, forty".