2204800 has 96 divisors (see below), whose sum is σ = 5976180. Its totient is φ = 798720.

The previous prime is 2204789. The next prime is 2204809. The reversal of 2204800 is 84022.

It can be written as a sum of positive squares in 6 ways, for example, as 627264 + 1577536 = 792^2 + 1256^2 .

It is a super-2 number, since 2×2204800² = 9722286080000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2204809) 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, 41574 + ... + 41626.

2^2204800 is an apocalyptic number.

2204800 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 2204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988090).

2204800 is an abundant number, since it is smaller than the sum of its proper divisors (3771380).

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

2204800 is a wasteful number, since it uses less digits than its factorization.

2204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2204800 is about 1484.8568954616. The cubic root of 2204800 is about 130.1536644456.

Adding to 2204800 its reverse (84022), we get a palindrome (2288822).

It can be divided in two parts, 2 and 204800, that multiplied together give a square (409600 = 640²).

The spelling of 2204800 in words is "two million, two hundred four thousand, eight hundred".