2560459603840 has 128 divisors (see below), whose sum is σ = 6273972663840. Its totient is φ = 998633472000.

The previous prime is 2560459603837. The next prime is 2560459603859. The reversal of 2560459603840 is 483069540652.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47493700 + ... + 47547580.

Almost surely, 2^{2560459603840} is an apocalyptic number.

2560459603840 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 2560459603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136986331920).

2560459603840 is an abundant number, since it is smaller than the sum of its proper divisors (3713513060000).

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

2560459603840 is a wasteful number, since it uses less digits than its factorization.

2560459603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55752 (or 55740 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 52.

The spelling of 2560459603840 in words is "two trillion, five hundred sixty billion, four hundred fifty-nine million, six hundred three thousand, eight hundred forty".