2168724682080 has 864 divisors, whose sum is σ = 8599568796000. Its totient is φ = 495947612160.

The previous prime is 2168724682039. The next prime is 2168724682123. The reversal of 2168724682080 is 802864278612.

2168724682080 is a `hidden beast` number, since 2 + 1 + 6 + 87 + 2 + 468 + 20 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 850812646 + ... + 850815194.

It is an arithmetic number, because the mean of its divisors is an integer number (9953204625).

Almost surely, 2^{2168724682080} is an apocalyptic number.

2168724682080 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 2168724682080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299784398000).

2168724682080 is an abundant number, since it is smaller than the sum of its proper divisors (6430844113920).

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

2168724682080 is a wasteful number, since it uses less digits than its factorization.

2168724682080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 2168724682080 in words is "two trillion, one hundred sixty-eight billion, seven hundred twenty-four million, six hundred eighty-two thousand, eighty".