2596384560 has 240 divisors, whose sum is σ = 10214560512. Its totient is φ = 539481600.

The previous prime is 2596384543. The next prime is 2596384579. The reversal of 2596384560 is 654836952.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 119325 + ... + 139395.

Almost surely, 2^2596384560 is an apocalyptic number.

2596384560 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 2596384560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107280256).

2596384560 is an abundant number, since it is smaller than the sum of its proper divisors (7618175952).

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

2596384560 is a wasteful number, since it uses less digits than its factorization.

2596384560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20112 (or 20099 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The square root of 2596384560 is about 50954.7304967851. The cubic root of 2596384560 is about 1374.4312023131.

The spelling of 2596384560 in words is "two billion, five hundred ninety-six million, three hundred eighty-four thousand, five hundred sixty".