2284320 has 48 divisors (see below), whose sum is σ = 7197120. Its totient is φ = 609024.

The previous prime is 2284279. The next prime is 2284327. The reversal of 2284320 is 234822.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2284327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1900 + ... + 2859.

It is an arithmetic number, because the mean of its divisors is an integer number (149940).

2^2284320 is an apocalyptic number.

2284320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2284320 is an abundant number, since it is smaller than the sum of its proper divisors (4912800).

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

2284320 is a wasteful number, since it uses less digits than its factorization.

2284320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2284320 is about 1511.3967050381. The cubic root of 2284320 is about 131.6999613142.

The spelling of 2284320 in words is "two million, two hundred eighty-four thousand, three hundred twenty".