2263833330 has 64 divisors (see below), whose sum is σ = 5950412928. Its totient is φ = 546652160.

The previous prime is 2263833323. The next prime is 2263833331. The reversal of 2263833330 is 333383622.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2263833291 and 2263833300.

It is not an unprimeable number, because it can be changed into a prime (2263833331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71464 + ... + 98156.

It is an arithmetic number, because the mean of its divisors is an integer number (92975202).

Almost surely, 2^2263833330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263833330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975206464).

2263833330 is an abundant number, since it is smaller than the sum of its proper divisors (3686579598).

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

2263833330 is a wasteful number, since it uses less digits than its factorization.

2263833330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26971.

The product of its (nonzero) digits is 46656, while the sum is 33.

The square root of 2263833330 is about 47579.7575655866. The cubic root of 2263833330 is about 1313.0506627226.

The spelling of 2263833330 in words is "two billion, two hundred sixty-three million, eight hundred thirty-three thousand, three hundred thirty".