2580225390864 has 405 divisors, whose sum is σ = 8154878224311. Its totient is φ = 761004478080.

The previous prime is 2580225390829. The next prime is 2580225390877. The reversal of 2580225390864 is 4680935220852.

The square root of 2580225390864 is 1606308.

It is a perfect power (a square), and thus also a powerful number.

2580225390864 is a `hidden beast` number, since 2 + 5 + 8 + 0 + 22 + 539 + 0 + 86 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2580225390864.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9117404067 + ... + 9117404349.

Almost surely, 2^{2580225390864} is an apocalyptic number.

2580225390864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2580225390864 is the 1606308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2580225390864

2580225390864 is an abundant number, since it is smaller than the sum of its proper divisors (5574652833447).

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

2580225390864 is a wasteful number, since it uses less digits than its factorization.

2580225390864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2580225390864 in words is "two trillion, five hundred eighty billion, two hundred twenty-five million, three hundred ninety thousand, eight hundred sixty-four".