2681245800000 has 1680 divisors, whose sum is σ = 10833041640960. Its totient is φ = 653184000000.

The previous prime is 2681245799993. The next prime is 2681245800029. The reversal of 2681245800000 is 85421862.

2681245800000 is a `hidden beast` number, since 2 + 68 + 12 + 4 + 580 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9541799860 + ... + 9541800140.

It is an arithmetic number, because the mean of its divisors is an integer number (6448239072).

Almost surely, 2^{2681245800000} is an apocalyptic number.

2681245800000 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 2681245800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416520820480).

2681245800000 is an abundant number, since it is smaller than the sum of its proper divisors (8151795840960).

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

2681245800000 is an equidigital number, since it uses as much as digits as its factorization.

2681245800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 2681245800000 in words is "two trillion, six hundred eighty-one billion, two hundred forty-five million, eight hundred thousand".