2166912 has 160 divisors (see below), whose sum is σ = 7405200. Its totient is φ = 622080.

The previous prime is 2166877. The next prime is 2166917. The reversal of 2166912 is 2196612.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2166917) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114039 + ... + 114057.

2^2166912 is an apocalyptic number.

2166912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702600).

2166912 is an abundant number, since it is smaller than the sum of its proper divisors (5238288).

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

2166912 is a wasteful number, since it uses less digits than its factorization.

2166912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 35 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2166912 is about 1472.0434776188. The cubic root of 2166912 is about 129.4038184069.

The spelling of 2166912 in words is "two million, one hundred sixty-six thousand, nine hundred twelve".