2568442494240 has 432 divisors, whose sum is σ = 10547387093880. Its totient is φ = 566828236800.

The previous prime is 2568442494197. The next prime is 2568442494263. The reversal of 2568442494240 is 424942448652.

2568442494240 is a `hidden beast` number, since 2 + 56 + 84 + 4 + 2 + 494 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1345887695376 + 1222554798864 = 1160124^2 + 1105692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1418640 + ... + 2673840.

Almost surely, 2^{2568442494240} is an apocalyptic number.

2568442494240 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 2568442494240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273693546940).

2568442494240 is an abundant number, since it is smaller than the sum of its proper divisors (7978944599640).

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

2568442494240 is a wasteful number, since it uses less digits than its factorization.

2568442494240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255265 (or 1255247 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 2568442494240 in words is "two trillion, five hundred sixty-eight billion, four hundred forty-two million, four hundred ninety-four thousand, two hundred forty".