2181069173088 has 576 divisors, whose sum is σ = 7058005839360. Its totient is φ = 654780672000.

The previous prime is 2181069173083. The next prime is 2181069173111. The reversal of 2181069173088 is 8803719601812.

2181069173088 is a `hidden beast` number, since 218 + 106 + 9 + 17 + 308 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2181069173083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1047079695 + ... + 1047081777.

It is an arithmetic number, because the mean of its divisors is an integer number (12253482360).

Almost surely, 2^{2181069173088} 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 2181069173088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529002919680).

2181069173088 is an abundant number, since it is smaller than the sum of its proper divisors (4876936666272).

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

2181069173088 is a wasteful number, since it uses less digits than its factorization.

2181069173088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 2181069173088 in words is "two trillion, one hundred eighty-one billion, sixty-nine million, one hundred seventy-three thousand, eighty-eight".