2164400 has 60 divisors (see below), whose sum is σ = 5950512. Its totient is φ = 741120.

The previous prime is 2164399. The next prime is 2164417. The reversal of 2164400 is 44612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2414 + ... + 3186.

2^2164400 is an apocalyptic number.

2164400 is a gapful number since it is divisible by the number (20) 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 2164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975256).

2164400 is an abundant number, since it is smaller than the sum of its proper divisors (3786112).

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

2164400 is a wasteful number, since it uses less digits than its factorization.

2164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2164400 is about 1471.1899945282. The cubic root of 2164400 is about 129.3537951353.

The spelling of 2164400 in words is "two million, one hundred sixty-four thousand, four hundred".