2164900 has 18 divisors (see below), whose sum is σ = 4698050. Its totient is φ = 865920.

The previous prime is 2164859. The next prime is 2164901. The reversal of 2164900 is 94612.

It can be written as a sum of positive squares in 3 ways, for example, as 73984 + 2090916 = 272^2 + 1446^2 .

It is not an unprimeable number, because it can be changed into a prime (2164901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10725 + ... + 10924.

2^2164900 is an apocalyptic number.

2164900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164900 is an abundant number, since it is smaller than the sum of its proper divisors (2533150).

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

2164900 is a wasteful number, since it uses less digits than its factorization.

2164900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21663 (or 21656 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2164900 is about 1471.3599151805. The cubic root of 2164900 is about 129.3637550807.

The spelling of 2164900 in words is "two million, one hundred sixty-four thousand, nine hundred".