2680849872000 has 768 divisors, whose sum is σ = 10031109379200. Its totient is φ = 711535104000.

The previous prime is 2680849871927. The next prime is 2680849872119. The reversal of 2680849872000 is 2789480862.

2680849872000 is a `hidden beast` number, since 2 + 6 + 80 + 8 + 498 + 72 + 0 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 890350495 + ... + 890353505.

Almost surely, 2^{2680849872000} is an apocalyptic number.

2680849872000 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 2680849872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015554689600).

2680849872000 is an abundant number, since it is smaller than the sum of its proper divisors (7350259507200).

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

2680849872000 is an equidigital number, since it uses as much as digits as its factorization.

2680849872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 2680849872000 in words is "two trillion, six hundred eighty billion, eight hundred forty-nine million, eight hundred seventy-two thousand".