2181909448593 has 144 divisors (see below), whose sum is σ = 3828402063360. Its totient is φ = 1224518166144.

The previous prime is 2181909448571. The next prime is 2181909448639. The reversal of 2181909448593 is 3958449091812.

2181909448593 is a `hidden beast` number, since 2 + 18 + 1 + 90 + 9 + 448 + 5 + 93 = 666.

It is not a de Polignac number, because 2181909448593 - 2⁵ = 2181909448561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2181909448593.

It is not an unprimeable number, because it can be changed into a prime (2181909448553) by changing a digit.

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, 1996256955 + ... + 1996258047.

It is an arithmetic number, because the mean of its divisors is an integer number (26586125440).

Almost surely, 2^{2181909448593} is an apocalyptic number.

It is an amenable number.

2181909448593 is a deficient number, since it is larger than the sum of its proper divisors (1646492614767).

2181909448593 is a wasteful number, since it uses less digits than its factorization.

2181909448593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 2181909448593 in words is "two trillion, one hundred eighty-one billion, nine hundred nine million, four hundred forty-eight thousand, five hundred ninety-three".