2560717240 has 64 divisors (see below), whose sum is σ = 5858516160. Its totient is φ = 1007139840.

The previous prime is 2560717219. The next prime is 2560717241. The reversal of 2560717240 is 427170652.

It is a junction number, because it is equal to n+sod(n) for n = 2560717196 and 2560717205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560717241) 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, 1296894 + ... + 1298866.

It is an arithmetic number, because the mean of its divisors is an integer number (91539315).

Almost surely, 2^2560717240 is an apocalyptic number.

2560717240 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 2560717240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929258080).

2560717240 is an abundant number, since it is smaller than the sum of its proper divisors (3297798920).

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

2560717240 is a wasteful number, since it uses less digits than its factorization.

2560717240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 2560717240 is about 50603.5299164001. The cubic root of 2560717240 is about 1368.1085019899.

Adding to 2560717240 its reverse (427170652), we get a palindrome (2987887892).

The spelling of 2560717240 in words is "two billion, five hundred sixty million, seven hundred seventeen thousand, two hundred forty".