2568841508100 has 1296 divisors, whose sum is σ = 9423463359744. Its totient is φ = 538165555200.

The previous prime is 2568841508099. The next prime is 2568841508113. The reversal of 2568841508100 is 18051488652.

It is a super-2 number, since 2×2568841508100² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2568841508100.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 35189609664 + ... + 35189609736.

It is an arithmetic number, because the mean of its divisors is an integer number (7271190864).

Almost surely, 2^{2568841508100} is an apocalyptic number.

2568841508100 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 2568841508100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711731679872).

2568841508100 is an abundant number, since it is smaller than the sum of its proper divisors (6854621851644).

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

2568841508100 is a wasteful number, since it uses less digits than its factorization.

2568841508100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

The spelling of 2568841508100 in words is "two trillion, five hundred sixty-eight billion, eight hundred forty-one million, five hundred eight thousand, one hundred".