2286384 has 80 divisors (see below), whose sum is σ = 6547200. Its totient is φ = 684288.

The previous prime is 2286379. The next prime is 2286437. The reversal of 2286384 is 4836822.

2286384 = T₄₉₅ + T₄₉₆ + ... + T₅₁₂.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20922 + ... + 21030.

It is an arithmetic number, because the mean of its divisors is an integer number (81840).

2^2286384 is an apocalyptic number.

2286384 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 2286384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273600).

2286384 is an abundant number, since it is smaller than the sum of its proper divisors (4260816).

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

2286384 is a wasteful number, since it uses less digits than its factorization.

2286384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 2286384 is about 1512.0793629965. The cubic root of 2286384 is about 131.7396152581.

The spelling of 2286384 in words is "two million, two hundred eighty-six thousand, three hundred eighty-four".