2566345416000 has 224 divisors, whose sum is σ = 8747432279040. Its totient is φ = 662282496000.

The previous prime is 2566345415951. The next prime is 2566345416001. The reversal of 2566345416000 is 6145436652.

It is a super-2 number, since 2×2566345416000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566345416001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980695 + ... + 2468694.

It is an arithmetic number, because the mean of its divisors is an integer number (39051036960).

Almost surely, 2^{2566345416000} is an apocalyptic number.

2566345416000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2566345416000 is an abundant number, since it is smaller than the sum of its proper divisors (6181086863040).

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

2566345416000 is a wasteful number, since it uses less digits than its factorization.

2566345416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449450 (or 3449430 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 2566345416000 in words is "two trillion, five hundred sixty-six billion, three hundred forty-five million, four hundred sixteen thousand".