2284464 has 80 divisors (see below), whose sum is σ = 7277312. Its totient is φ = 601344.

The previous prime is 2284441. The next prime is 2284481. The reversal of 2284464 is 4644822.

2284464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 4107 + ... + 4629.

2^2284464 is an apocalyptic number.

2284464 is a gapful number since it is divisible by the number (24) 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 2284464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638656).

2284464 is an abundant number, since it is smaller than the sum of its proper divisors (4992848).

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

2284464 is a wasteful number, since it uses less digits than its factorization.

2284464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 2284464 is about 1511.4443423428. Note that the first 3 decimals coincide. The cubic root of 2284464 is about 131.7027286434.

The spelling of 2284464 in words is "two million, two hundred eighty-four thousand, four hundred sixty-four".