2164896 has 36 divisors (see below), whose sum is σ = 6157242. Its totient is φ = 721536.

The previous prime is 2164859. The next prime is 2164901. The reversal of 2164896 is 6984612.

2164896 is a `hidden beast` number, since 2 + 1 + 648 + 9 + 6 = 666.

2164896 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1354896 + 810000 = 1164^2 + 900^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2164896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3471 + ... + 4046.

2^2164896 is an apocalyptic number.

It is an amenable number.

2164896 is an abundant number, since it is smaller than the sum of its proper divisors (3992346).

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

2164896 is a wasteful number, since it uses less digits than its factorization.

2164896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7533 (or 7522 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2164896 is about 1471.3585558932. The cubic root of 2164896 is about 129.3636754073.

The spelling of 2164896 in words is "two million, one hundred sixty-four thousand, eight hundred ninety-six".