2224800 has 144 divisors (see below), whose sum is σ = 8124480. Its totient is φ = 587520.

The previous prime is 2224763. The next prime is 2224801. The reversal of 2224800 is 84222.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2224801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21549 + ... + 21651.

It is an arithmetic number, because the mean of its divisors is an integer number (56420).

2^2224800 is an apocalyptic number.

2224800 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 2224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062240).

2224800 is an abundant number, since it is smaller than the sum of its proper divisors (5899680).

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

2224800 is a wasteful number, since it uses less digits than its factorization.

2224800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2224800 is about 1491.5763473587. The cubic root of 2224800 is about 130.5460268350.

The spelling of 2224800 in words is "two million, two hundred twenty-four thousand, eight hundred".