2681189644368 has 320 divisors, whose sum is σ = 7730376652800. Its totient is φ = 796892528640.

The previous prime is 2681189644333. The next prime is 2681189644369. The reversal of 2681189644368 is 8634469811862.

It is a junction number, because it is equal to n+sod(n) for n = 2681189644299 and 2681189644308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681189644369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 682408228 + ... + 682412156.

It is an arithmetic number, because the mean of its divisors is an integer number (24157427040).

Almost surely, 2^{2681189644368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2681189644368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865188326400).

2681189644368 is an abundant number, since it is smaller than the sum of its proper divisors (5049187008432).

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

2681189644368 is a wasteful number, since it uses less digits than its factorization.

2681189644368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550 (or 4544 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 66.

The spelling of 2681189644368 in words is "two trillion, six hundred eighty-one billion, one hundred eighty-nine million, six hundred forty-four thousand, three hundred sixty-eight".