2560674985344 has 640 divisors, whose sum is σ = 8964865451520. Its totient is φ = 710455173120.

The previous prime is 2560674985289. The next prime is 2560674985357. The reversal of 2560674985344 is 4435894760652.

2560674985344 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 6 + 7 + 4 + 98 + 534 + 4 = 666.

It is a super-2 number, since 2×2560674985344² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 345240324 + ... + 345247740.

It is an arithmetic number, because the mean of its divisors is an integer number (14007602268).

Almost surely, 2^{2560674985344} is an apocalyptic number.

2560674985344 is a gapful number since it is divisible by the number (24) 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 2560674985344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482432725760).

2560674985344 is an abundant number, since it is smaller than the sum of its proper divisors (6404190466176).

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

2560674985344 is an equidigital number, since it uses as much as digits as its factorization.

2560674985344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7588 (or 7567 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 2560674985344 in words is "two trillion, five hundred sixty billion, six hundred seventy-four million, nine hundred eighty-five thousand, three hundred forty-four".