2422400 has 48 divisors (see below), whose sum is σ = 5991990. Its totient is φ = 967680.

The previous prime is 2422391. The next prime is 2422411. The reversal of 2422400 is 42242.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1915456 + 506944 = 1384^2 + 712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2822 + ... + 3578.

2^2422400 is an apocalyptic number.

2422400 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 2422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995995).

2422400 is an abundant number, since it is smaller than the sum of its proper divisors (3569590).

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

2422400 is an equidigital number, since it uses as much as digits as its factorization.

2422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2422400 is about 1556.4061166675. The cubic root of 2422400 is about 134.3018368622.

Adding to 2422400 its reverse (42242), we get a palindrome (2464642).

The spelling of 2422400 in words is "two million, four hundred twenty-two thousand, four hundred".