2568146337680 has 640 divisors, whose sum is σ = 8087002398720. Its totient is φ = 734392811520.

The previous prime is 2568146337671. The next prime is 2568146337707. The reversal of 2568146337680 is 867336418652.

It is a super-2 number, since 2×2568146337680² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 533582954 + ... + 533587766.

It is an arithmetic number, because the mean of its divisors is an integer number (12635941248).

Almost surely, 2^{2568146337680} is an apocalyptic number.

2568146337680 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 2568146337680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043501199360).

2568146337680 is an abundant number, since it is smaller than the sum of its proper divisors (5518856061040).

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

2568146337680 is a wasteful number, since it uses less digits than its factorization.

2568146337680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 59.

The spelling of 2568146337680 in words is "two trillion, five hundred sixty-eight billion, one hundred forty-six million, three hundred thirty-seven thousand, six hundred eighty".