2268407232 has 252 divisors, whose sum is σ = 8048823120. Its totient is φ = 598081536.

The previous prime is 2268407221. The next prime is 2268407249. The reversal of 2268407232 is 2327048622.

It is a happy number.

2268407232 is a `hidden beast` number, since 226 + 8 + 407 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 679744 + ... + 683072.

Almost surely, 2^2268407232 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 2268407232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024411560).

2268407232 is an abundant number, since it is smaller than the sum of its proper divisors (5780415888).

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

2268407232 is a wasteful number, since it uses less digits than its factorization.

2268407232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2268407232 is about 47627.7989413746. The cubic root of 2268407232 is about 1313.9343739595.

The spelling of 2268407232 in words is "two billion, two hundred sixty-eight million, four hundred seven thousand, two hundred thirty-two".