2680937613200 has 360 divisors, whose sum is σ = 8099311444224. Its totient is φ = 834770534400.

The previous prime is 2680937613199. The next prime is 2680937613223. The reversal of 2680937613200 is 23167390862.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 390632969 + ... + 390639831.

Almost surely, 2^{2680937613200} is an apocalyptic number.

2680937613200 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 2680937613200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049655722112).

2680937613200 is an abundant number, since it is smaller than the sum of its proper divisors (5418373831024).

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

2680937613200 is a wasteful number, since it uses less digits than its factorization.

2680937613200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8063 (or 8041 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 2680937613200 in words is "two trillion, six hundred eighty billion, nine hundred thirty-seven million, six hundred thirteen thousand, two hundred".