2164166232 has 128 divisors (see below), whose sum is σ = 6011573760. Its totient is φ = 645765120.

The previous prime is 2164166201. The next prime is 2164166237. The reversal of 2164166232 is 2326614612.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2164166193 and 2164166202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164166237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1979478 + ... + 1980570.

It is an arithmetic number, because the mean of its divisors is an integer number (46965420).

Almost surely, 2^2164166232 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 2164166232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005786880).

2164166232 is an abundant number, since it is smaller than the sum of its proper divisors (3847407528).

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

2164166232 is a wasteful number, since it uses less digits than its factorization.

2164166232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1349 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 2164166232 is about 46520.6000821142. The cubic root of 2164166232 is about 1293.4913797600.

The spelling of 2164166232 in words is "two billion, one hundred sixty-four million, one hundred sixty-six thousand, two hundred thirty-two".