2560344064 has 90 divisors (see below), whose sum is σ = 5361205472. Its totient is φ = 1221427200.

The previous prime is 2560344049. The next prime is 2560344089. The reversal of 2560344064 is 4604430652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36061149 + ... + 36061219.

Almost surely, 2^2560344064 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 2560344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680602736).

2560344064 is an abundant number, since it is smaller than the sum of its proper divisors (2800861408).

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

2560344064 is an frugal number, since it uses more digits than its factorization.

2560344064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The square root of 2560344064 is about 50599.8425293992. The cubic root of 2560344064 is about 1368.0420401339.

The spelling of 2560344064 in words is "two billion, five hundred sixty million, three hundred forty-four thousand, sixty-four".