2560013064 has 96 divisors (see below), whose sum is σ = 8002463040. Its totient is φ = 724176000.

The previous prime is 2560013023. The next prime is 2560013083. The reversal of 2560013064 is 4603100652.

2560013064 is a `hidden beast` number, since 25 + 600 + 1 + 30 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25759 + ... + 76049.

It is an arithmetic number, because the mean of its divisors is an integer number (83358990).

Almost surely, 2^2560013064 is an apocalyptic number.

2560013064 is a gapful number since it is divisible by the number (24) 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 2560013064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001231520).

2560013064 is an abundant number, since it is smaller than the sum of its proper divisors (5442449976).

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

2560013064 is a wasteful number, since it uses less digits than its factorization.

2560013064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50411 (or 50404 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2560013064 is about 50596.5716625148. The cubic root of 2560013064 is about 1367.9830843297.

The spelling of 2560013064 in words is "two billion, five hundred sixty million, thirteen thousand, sixty-four".