2181168 has 140 divisors (see below), whose sum is σ = 7318728. Its totient is φ = 622080.

The previous prime is 2181161. The next prime is 2181169. The reversal of 2181168 is 8611812.

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.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2181161) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 128296 + ... + 128312.

2^2181168 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 2181168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659364).

2181168 is an abundant number, since it is smaller than the sum of its proper divisors (5137560).

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

2181168 is a wasteful number, since it uses less digits than its factorization.

2181168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 33 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 2181168 is about 1476.8777877672. The cubic root of 2181168 is about 129.6869786499.

The spelling of 2181168 in words is "two million, one hundred eighty-one thousand, one hundred sixty-eight".