2284400 has 30 divisors (see below), whose sum is σ = 5489232. Its totient is φ = 913600.

The previous prime is 2284391. The next prime is 2284423. The reversal of 2284400 is 44822.

2284400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2456 + ... + 3255.

2^2284400 is an apocalyptic number.

2284400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2284400 is an abundant number, since it is smaller than the sum of its proper divisors (3204832).

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

2284400 is a wasteful number, since it uses less digits than its factorization.

2284400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729 (or 5718 counting only the distinct ones).

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

The square root of 2284400 is about 1511.4231703927. The cubic root of 2284400 is about 131.7014987337.

The spelling of 2284400 in words is "two million, two hundred eighty-four thousand, four hundred".