2560683840 has 448 divisors, whose sum is σ = 9979103232. Its totient is φ = 547430400.

The previous prime is 2560683809. The next prime is 2560683883. The reversal of 2560683840 is 483860652.

It is a super-5 number, since 5×2560683840⁵ (a number of 48 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2560683792 and 2560683801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3157035 + ... + 3157845.

It is an arithmetic number, because the mean of its divisors is an integer number (22274784).

Almost surely, 2^2560683840 is an apocalyptic number.

2560683840 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 2560683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989551616).

2560683840 is an abundant number, since it is smaller than the sum of its proper divisors (7418419392).

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

2560683840 is a wasteful number, since it uses less digits than its factorization.

2560683840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 2560683840 is about 50603.1998988206. The cubic root of 2560683840 is about 1368.1025537836.

The spelling of 2560683840 in words is "two billion, five hundred sixty million, six hundred eighty-three thousand, eight hundred forty".