2681827051680 has 768 divisors, whose sum is σ = 11422301184000. Its totient is φ = 586329891840.

The previous prime is 2681827051649. The next prime is 2681827051693. The reversal of 2681827051680 is 861507281862.

2681827051680 is a `hidden beast` number, since 26 + 8 + 1 + 8 + 27 + 0 + 516 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34041135 + ... + 34119825.

It is an arithmetic number, because the mean of its divisors is an integer number (14872788000).

Almost surely, 2^{2681827051680} is an apocalyptic number.

2681827051680 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 2681827051680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711150592000).

2681827051680 is an abundant number, since it is smaller than the sum of its proper divisors (8740474132320).

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

2681827051680 is a wasteful number, since it uses less digits than its factorization.

2681827051680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78759 (or 78731 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 2681827051680 in words is "two trillion, six hundred eighty-one billion, eight hundred twenty-seven million, fifty-one thousand, six hundred eighty".