2181982681000 has 64 divisors (see below), whose sum is σ = 5106071814480. Its totient is φ = 872753356800.

The previous prime is 2181982680989. The next prime is 2181982681033. The reversal of 2181982681000 is 1862891812.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17441428356 + 2164541252644 = 132066^2 + 1471238^2 .

It is a super-2 number, since 2×2181982681000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32799772 + ... + 32866228.

Almost surely, 2^{2181982681000} is an apocalyptic number.

2181982681000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2181982681000 is an abundant number, since it is smaller than the sum of its proper divisors (2924089133480).

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

2181982681000 is a wasteful number, since it uses less digits than its factorization.

2181982681000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99311 (or 99297 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 46.

The spelling of 2181982681000 in words is "two trillion, one hundred eighty-one billion, nine hundred eighty-two million, six hundred eighty-one thousand".