2172800 has 96 divisors (see below), whose sum is σ = 6197520. Its totient is φ = 737280.

The previous prime is 2172799. The next prime is 2172803. The reversal of 2172800 is 82712.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172803) 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 11 ways as a sum of consecutive naturals, for example, 22352 + ... + 22448.

2^2172800 is an apocalyptic number.

2172800 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 2172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098760).

2172800 is an abundant number, since it is smaller than the sum of its proper divisors (4024720).

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

2172800 is an equidigital number, since it uses as much as digits as its factorization.

2172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 2172800 is about 1474.0420618151. The cubic root of 2172800 is about 129.5209190875.

The spelling of 2172800 in words is "two million, one hundred seventy-two thousand, eight hundred".