2244800 has 84 divisors (see below), whose sum is σ = 5858256. Its totient is φ = 844800.

The previous prime is 2244787. The next prime is 2244811. The reversal of 2244800 is 84422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2⁷ + 2¹⁷ + 4³ + 4⁷ + 8⁷ + 0 + 0 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36770 + ... + 36830.

2^2244800 is an apocalyptic number.

2244800 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 2244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929128).

2244800 is an abundant number, since it is smaller than the sum of its proper divisors (3613456).

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

2244800 is a wasteful number, since it uses less digits than its factorization.

2244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2244800 is about 1498.2656640262. The cubic root of 2244800 is about 130.9360447679.

The spelling of 2244800 in words is "two million, two hundred forty-four thousand, eight hundred".