2560490240 has 288 divisors, whose sum is σ = 7763406336. Its totient is φ = 785940480.

The previous prime is 2560490209. The next prime is 2560490263. The reversal of 2560490240 is 420940652.

It is a super-2 number, since 2×2560490240² = 13112220538270515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2560490197 and 2560490206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8180324 + ... + 8180636.

It is an arithmetic number, because the mean of its divisors is an integer number (26956272).

Almost surely, 2^2560490240 is an apocalyptic number.

2560490240 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 2560490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881703168).

2560490240 is an abundant number, since it is smaller than the sum of its proper divisors (5202916096).

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

2560490240 is a wasteful number, since it uses less digits than its factorization.

2560490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2560490240 is about 50601.2869401560. The cubic root of 2560490240 is about 1368.0680745395.

The spelling of 2560490240 in words is "two billion, five hundred sixty million, four hundred ninety thousand, two hundred forty".