2166237243072 has 1008 divisors, whose sum is σ = 7778734048800. Its totient is φ = 573547806720.

The previous prime is 2166237243061. The next prime is 2166237243097. The reversal of 2166237243072 is 2703427326612.

2166237243072 is a `hidden beast` number, since 2 + 1 + 66 + 23 + 72 + 430 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2146914504 + ... + 2146915512.

Almost surely, 2^{2166237243072} 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 2166237243072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889367024400).

2166237243072 is an abundant number, since it is smaller than the sum of its proper divisors (5612496805728).

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

2166237243072 is a wasteful number, since it uses less digits than its factorization.

2166237243072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 2166237243072 in words is "two trillion, one hundred sixty-six billion, two hundred thirty-seven million, two hundred forty-three thousand, seventy-two".