2264333292 has 288 divisors, whose sum is σ = 6903816192. Its totient is φ = 642733056.

The previous prime is 2264333261. The next prime is 2264333293. The reversal of 2264333292 is 2923334622.

It is a happy number.

2264333292 is a `hidden beast` number, since 2 + 2 + 643 + 3 + 3 + 2 + 9 + 2 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (2264333293) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17829333 + ... + 17829459.

It is an arithmetic number, because the mean of its divisors is an integer number (23971584).

Almost surely, 2^2264333292 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 2264333292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3451908096).

2264333292 is an abundant number, since it is smaller than the sum of its proper divisors (4639482900).

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

2264333292 is a wasteful number, since it uses less digits than its factorization.

2264333292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 2264333292 is about 47585.0112115149. The cubic root of 2264333292 is about 1313.1473169397.

The spelling of 2264333292 in words is "two billion, two hundred sixty-four million, three hundred thirty-three thousand, two hundred ninety-two".