2580225664 has 64 divisors (see below), whose sum is σ = 5275464480. Its totient is φ = 1256371200.

The previous prime is 2580225647. The next prime is 2580225709. The reversal of 2580225664 is 4665220852.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3142374 + ... + 3143194.

Almost surely, 2^2580225664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2580225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637732240).

2580225664 is an abundant number, since it is smaller than the sum of its proper divisors (2695238816).

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

2580225664 is an equidigital number, since it uses as much as digits as its factorization.

2580225664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The square root of 2580225664 is about 50795.9217260599. The cubic root of 2580225664 is about 1371.5739567432.

The spelling of 2580225664 in words is "two billion, five hundred eighty million, two hundred twenty-five thousand, six hundred sixty-four".