2292400 has 60 divisors (see below), whose sum is σ = 6019704. Its totient is φ = 832000.

The previous prime is 2292391. The next prime is 2292403. The reversal of 2292400 is 42922.

It is a happy number.

2292400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2292403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4140 + ... + 4660.

2^2292400 is an apocalyptic number.

2292400 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 2292400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009852).

2292400 is an abundant number, since it is smaller than the sum of its proper divisors (3727304).

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

2292400 is a wasteful number, since it uses less digits than its factorization.

2292400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2292400 is about 1514.0673697032. The cubic root of 2292400 is about 131.8550597644.

The spelling of 2292400 in words is "two million, two hundred ninety-two thousand, four hundred".