2168400 has 120 divisors (see below), whose sum is σ = 7534240. Its totient is φ = 529920.

The previous prime is 2168399. The next prime is 2168407. The reversal of 2168400 is 48612.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15531 + ... + 15669.

2^2168400 is an apocalyptic number.

2168400 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 2168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767120).

2168400 is an abundant number, since it is smaller than the sum of its proper divisors (5365840).

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

2168400 is a wasteful number, since it uses less digits than its factorization.

2168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2168400 is about 1472.5488107360. The cubic root of 2168400 is about 129.4334317959.

The spelling of 2168400 in words is "two million, one hundred sixty-eight thousand, four hundred".