2681382984192 has 300 divisors, whose sum is σ = 8796946619538. Its totient is φ = 812538777600.

The previous prime is 2681382984187. The next prime is 2681382984233. The reversal of 2681382984192 is 2914892831862.

2681382984192 is a `hidden beast` number, since 2 + 6 + 81 + 382 + 98 + 4 + 1 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2317165906176 + 364217078016 = 1522224^2 + 603504^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4750942 + ... + 5285282.

Almost surely, 2^{2681382984192} is an apocalyptic number.

2681382984192 is a gapful number since it is divisible by the number (22) 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 2681382984192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398473309769).

2681382984192 is an abundant number, since it is smaller than the sum of its proper divisors (6115563635346).

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

2681382984192 is an equidigital number, since it uses as much as digits as its factorization.

2681382984192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534393 (or 534357 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 2681382984192 in words is "two trillion, six hundred eighty-one billion, three hundred eighty-two million, nine hundred eighty-four thousand, one hundred ninety-two".