2681944246800 has 1440 divisors, whose sum is σ = 12396561235968. Its totient is φ = 541217064960.

The previous prime is 2681944246789. The next prime is 2681944246831. The reversal of 2681944246800 is 86424491862.

It is a happy number.

2681944246800 is a `hidden beast` number, since 2 + 6 + 81 + 9 + 442 + 46 + 80 + 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 203433009 + ... + 203446191.

Almost surely, 2^{2681944246800} is an apocalyptic number.

2681944246800 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 2681944246800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198280617984).

2681944246800 is an abundant number, since it is smaller than the sum of its proper divisors (9714616989168).

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

2681944246800 is a wasteful number, since it uses less digits than its factorization.

2681944246800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13259 (or 13236 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2681944246800 in words is "two trillion, six hundred eighty-one billion, nine hundred forty-four million, two hundred forty-six thousand, eight hundred".