2560983040 has 384 divisors, whose sum is σ = 8068669200. Its totient is φ = 770703360.

The previous prime is 2560983023. The next prime is 2560983043. The reversal of 2560983040 is 403890652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560983043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88309746 + ... + 88309774.

Almost surely, 2^2560983040 is an apocalyptic number.

2560983040 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 2560983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034334600).

2560983040 is an abundant number, since it is smaller than the sum of its proper divisors (5507686160).

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

2560983040 is an equidigital number, since it uses as much as digits as its factorization.

2560983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 2560983040 is about 50606.1561472515. The cubic root of 2560983040 is about 1368.1558364701.

The spelling of 2560983040 in words is "two billion, five hundred sixty million, nine hundred eighty-three thousand, forty".