2164368 has 40 divisors (see below), whose sum is σ = 5683168. Its totient is φ = 709632.

The previous prime is 2164367. The next prime is 2164387. The reversal of 2164368 is 8634612.

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

It is a d-powerful number, because it can be written as 2⁷ + 1 + 6 + 4⁴ + 3¹⁰ + 6⁵ + 8⁷ .

It is not an unprimeable number, because it can be changed into a prime (2164367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2880 + ... + 3552.

2^2164368 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 2164368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841584).

2164368 is an abundant number, since it is smaller than the sum of its proper divisors (3518800).

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

2164368 is a wasteful number, since it uses less digits than its factorization.

2164368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 745 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2164368 is about 1471.1791189383. The cubic root of 2164368 is about 129.3531576466.

The spelling of 2164368 in words is "two million, one hundred sixty-four thousand, three hundred sixty-eight".