2560603360 has 96 divisors (see below), whose sum is σ = 6922782720. Its totient is φ = 876759552.

The previous prime is 2560603351. The next prime is 2560603361. The reversal of 2560603360 is 633060652.

2560603360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560603361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1633297 + ... + 1634863.

It is an arithmetic number, because the mean of its divisors is an integer number (72112320).

Almost surely, 2^2560603360 is an apocalyptic number.

2560603360 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 2560603360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461391360).

2560603360 is an abundant number, since it is smaller than the sum of its proper divisors (4362179360).

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

2560603360 is a wasteful number, since it uses less digits than its factorization.

2560603360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 2560603360 is about 50602.4046859435. The cubic root of 2560603360 is about 1368.0882208874.

The spelling of 2560603360 in words is "two billion, five hundred sixty million, six hundred three thousand, three hundred sixty".