2182721288256 has 168 divisors, whose sum is σ = 6417110603904. Its totient is φ = 708962042880.

The previous prime is 2182721288227. The next prime is 2182721288263. The reversal of 2182721288256 is 6528821272812.

2182721288256 is a `hidden beast` number, since 21 + 82 + 7 + 212 + 88 + 256 = 666.

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 23 ways as a sum of consecutive naturals, for example, 10322665 + ... + 10531991.

It is an arithmetic number, because the mean of its divisors is an integer number (38197086928).

Almost surely, 2^{2182721288256} 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 2182721288256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208555301952).

2182721288256 is an abundant number, since it is smaller than the sum of its proper divisors (4234389315648).

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

2182721288256 is a wasteful number, since it uses less digits than its factorization.

2182721288256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209809 (or 209796 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The spelling of 2182721288256 in words is "two trillion, one hundred eighty-two billion, seven hundred twenty-one million, two hundred eighty-eight thousand, two hundred fifty-six".