2560385520 has 240 divisors, whose sum is σ = 10720599552. Its totient is φ = 532016640.

The previous prime is 2560385501. The next prime is 2560385537. The reversal of 2560385520 is 255830652.

It is a happy number.

2560385520 is a `hidden beast` number, since 2 + 56 + 0 + 3 + 85 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2560385520² = 13111148022051340800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32349 + ... + 78531.

Almost surely, 2^2560385520 is an apocalyptic number.

2560385520 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 2560385520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5360299776).

2560385520 is an abundant number, since it is smaller than the sum of its proper divisors (8160214032).

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

2560385520 is a wasteful number, since it uses less digits than its factorization.

2560385520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46220 (or 46211 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2560385520 is about 50600.2521732847. The cubic root of 2560385520 is about 1368.0494236786.

The spelling of 2560385520 in words is "two billion, five hundred sixty million, three hundred eighty-five thousand, five hundred twenty".