2560491683440 has 40 divisors (see below), whose sum is σ = 5955929309520. Its totient is φ = 1023717336576.

The previous prime is 2560491683413. The next prime is 2560491683471. The reversal of 2560491683440 is 443861940652.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2560491683440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7317610 + ... + 7659529.

It is an arithmetic number, because the mean of its divisors is an integer number (148898232738).

Almost surely, 2^{2560491683440} is an apocalyptic number.

2560491683440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2560491683440 is an abundant number, since it is smaller than the sum of its proper divisors (3395437626080).

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

2560491683440 is a wasteful number, since it uses less digits than its factorization.

2560491683440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14979289 (or 14979283 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 2560491683440 in words is "two trillion, five hundred sixty billion, four hundred ninety-one million, six hundred eighty-three thousand, four hundred forty".