2268432 has 80 divisors (see below), whose sum is σ = 6696000. Its totient is φ = 734976.

The previous prime is 2268403. The next prime is 2268437. The reversal of 2268432 is 2348622.

2268432 = 33³ + 34³ + ... + 56³.

2268432 is a `hidden beast` number, since 226 + 8 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 2268396 and 2268405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25444 + ... + 25532.

It is an arithmetic number, because the mean of its divisors is an integer number (83700).

2^2268432 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 2268432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348000).

2268432 is an abundant number, since it is smaller than the sum of its proper divisors (4427568).

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

2268432 is a wasteful number, since it uses less digits than its factorization.

2268432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

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

The square root of 2268432 is about 1506.1314683652. The cubic root of 2268432 is about 131.3939156083.

The spelling of 2268432 in words is "two million, two hundred sixty-eight thousand, four hundred thirty-two".