2568221873280 has 640 divisors, whose sum is σ = 10819980610560. Its totient is φ = 568083456000.

The previous prime is 2568221873267. The next prime is 2568221873299. The reversal of 2568221873280 is 823781228652.

2568221873280 is a `hidden beast` number, since 2 + 5 + 6 + 82 + 218 + 73 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11135130 + ... + 11363430.

It is an arithmetic number, because the mean of its divisors is an integer number (16906219704).

Almost surely, 2^{2568221873280} is an apocalyptic number.

2568221873280 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 2568221873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5409990305280).

2568221873280 is an abundant number, since it is smaller than the sum of its proper divisors (8251758737280).

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

2568221873280 is a wasteful number, since it uses less digits than its factorization.

2568221873280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228370 (or 228349 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 2568221873280 in words is "two trillion, five hundred sixty-eight billion, two hundred twenty-one million, eight hundred seventy-three thousand, two hundred eighty".