2190400 has 63 divisors (see below), whose sum is σ = 5539359. Its totient is φ = 852480.

The previous prime is 2190389. The next prime is 2190403. The reversal of 2190400 is 40912.

The square root of 2190400 is 1480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 207936 + 1982464 = 456^2 + 1408^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2190403) 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 8 ways as a sum of consecutive naturals, for example, 59182 + ... + 59218.

2^2190400 is an apocalyptic number.

2190400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2190400 is the 1480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2190400

2190400 is an abundant number, since it is smaller than the sum of its proper divisors (3348959).

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

2190400 is an equidigital number, since it uses as much as digits as its factorization.

2190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The cubic root of 2190400 is about 129.8696919119.

Multiplying 2190400 by its sum of digits (16), we get a square (35046400 = 5920²).

2190400 divided by its sum of digits (16) gives a square (136900 = 370²).

The spelling of 2190400 in words is "two million, one hundred ninety thousand, four hundred".