2560045079592 has 576 divisors, whose sum is σ = 9512098202880. Its totient is φ = 605138688000.

The previous prime is 2560045079563. The next prime is 2560045079593. The reversal of 2560045079592 is 2959705400652.

2560045079592 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 0 + 45 + 0 + 7 + 9 + 592 = 666.

It is a super-2 number, since 2×2560045079592² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2560045079593) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56265492 + ... + 56310972.

It is an arithmetic number, because the mean of its divisors is an integer number (16514059380).

Almost surely, 2^{2560045079592} is an apocalyptic number.

2560045079592 is a gapful number since it is divisible by the number (22) 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 2560045079592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756049101440).

2560045079592 is an abundant number, since it is smaller than the sum of its proper divisors (6952053123288).

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

2560045079592 is a wasteful number, since it uses less digits than its factorization.

2560045079592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45606 (or 45588 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 2560045079592 in words is "two trillion, five hundred sixty billion, forty-five million, seventy-nine thousand, five hundred ninety-two".