2081021683968 has 180 divisors, whose sum is σ = 6274957370220. Its totient is φ = 685879197696.

The previous prime is 2081021683933. The next prime is 2081021683981. The reversal of 2081021683968 is 8693861201802.

2081021683968 is a `hidden beast` number, since 20 + 8 + 10 + 216 + 8 + 396 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 602871496704 + 1478150187264 = 776448^2 + 1215792^2 .

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 19 ways as a sum of consecutive naturals, for example, 1281696 + ... + 2409312.

It is an arithmetic number, because the mean of its divisors is an integer number (34860874279).

Almost surely, 2^{2081021683968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2081021683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137478685110).

2081021683968 is an abundant number, since it is smaller than the sum of its proper divisors (4193935686252).

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

2081021683968 is an equidigital number, since it uses as much as digits as its factorization.

2081021683968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127734 (or 1127711 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 2081021683968 in words is "two trillion, eighty-one billion, twenty-one million, six hundred eighty-three thousand, nine hundred sixty-eight".