2286432 has 72 divisors (see below), whose sum is σ = 6899256. Its totient is φ = 715776.

The previous prime is 2286379. The next prime is 2286437. The reversal of 2286432 is 2346822.

2286432 is a `hidden beast` number, since 228 + 6 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 2286396 and 2286405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2286437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4663 + ... + 5129.

It is an arithmetic number, because the mean of its divisors is an integer number (95823).

2^2286432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2286432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449628).

2286432 is an abundant number, since it is smaller than the sum of its proper divisors (4612824).

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

2286432 is a wasteful number, since it uses less digits than its factorization.

2286432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 489 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2286432 is about 1512.0952350960. The cubic root of 2286432 is about 131.7405371588.

The spelling of 2286432 in words is "two million, two hundred eighty-six thousand, four hundred thirty-two".