2560223360 has 64 divisors (see below), whose sum is σ = 6149865600. Its totient is φ = 1019182080.

The previous prime is 2560223333. The next prime is 2560223383. The reversal of 2560223360 is 633220652.

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, 125561 + ... + 144519.

It is an arithmetic number, because the mean of its divisors is an integer number (96091650).

Almost surely, 2^2560223360 is an apocalyptic number.

2560223360 is a gapful number since it is divisible by the number (20) 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 2560223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074932800).

2560223360 is an abundant number, since it is smaller than the sum of its proper divisors (3589642240).

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

2560223360 is a wasteful number, since it uses less digits than its factorization.

2560223360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19189 (or 19177 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 2560223360 is about 50598.6497843569. The cubic root of 2560223360 is about 1368.0205416247.

The spelling of 2560223360 in words is "two billion, five hundred sixty million, two hundred twenty-three thousand, three hundred sixty".