2681823559680 has 912 divisors, whose sum is σ = 10105166358144. Its totient is φ = 655318056960.

The previous prime is 2681823559669. The next prime is 2681823559687. The reversal of 2681823559680 is 869553281862.

2681823559680 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 8 + 2 + 35 + 596 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2681823559687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8623226725 + ... + 8623227035.

Almost surely, 2^{2681823559680} is an apocalyptic number.

2681823559680 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 2681823559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052583179072).

2681823559680 is an abundant number, since it is smaller than the sum of its proper divisors (7423342798464).

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

2681823559680 is an equidigital number, since it uses as much as digits as its factorization.

2681823559680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 2681823559680 in words is "two trillion, six hundred eighty-one billion, eight hundred twenty-three million, five hundred fifty-nine thousand, six hundred eighty".