2022400 has 66 divisors (see below), whose sum is σ = 5076560. Its totient is φ = 798720.

The previous prime is 2022389. The next prime is 2022401. The reversal of 2022400 is 42202.

It is a happy number.

2022400 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25561 + ... + 25639.

2^2022400 is an apocalyptic number.

2022400 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 2022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538280).

2022400 is an abundant number, since it is smaller than the sum of its proper divisors (3054160).

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

2022400 is an equidigital number, since it uses as much as digits as its factorization.

2022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2022400 is about 1422.1111067705. Note that the first 4 decimals coincide. The cubic root of 2022400 is about 126.4607303104.

Adding to 2022400 its reverse (42202), we get a palindrome (2064602).

The spelling of 2022400 in words is "two million, twenty-two thousand, four hundred".