2022800 has 60 divisors (see below), whose sum is σ = 5247060. Its totient is φ = 744960.

The previous prime is 2022791. The next prime is 2022803. The reversal of 2022800 is 82202.

It can be written as a sum of positive squares in 6 ways, for example, as 425104 + 1597696 = 652^2 + 1264^2 .

It is not an unprimeable number, because it can be changed into a prime (2022803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5006 + ... + 5394.

It is an arithmetic number, because the mean of its divisors is an integer number (87451).

2^2022800 is an apocalyptic number.

2022800 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 2022800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623530).

2022800 is an abundant number, since it is smaller than the sum of its proper divisors (3224260).

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

2022800 is a wasteful number, since it uses less digits than its factorization.

2022800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2022800 is about 1422.2517358049. The cubic root of 2022800 is about 126.4690670980.

The spelling of 2022800 in words is "two million, twenty-two thousand, eight hundred".