2232304668 has 288 divisors, whose sum is σ = 6702538752. Its totient is φ = 620006400.

The previous prime is 2232304651. The next prime is 2232304729. The reversal of 2232304668 is 8664032322.

It is a super-3 number, since 3×2232304668³ (a number of 29 digits) contains 333 as substring.

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

2232304668 is a modest number, since divided by 304668 gives 2232 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30579480 + ... + 30579552.

It is an arithmetic number, because the mean of its divisors is an integer number (23272704).

Almost surely, 2^2232304668 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 2232304668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351269376).

2232304668 is an abundant number, since it is smaller than the sum of its proper divisors (4470234084).

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

2232304668 is a wasteful number, since it uses less digits than its factorization.

2232304668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2232304668 is about 47247.2715402699. The cubic root of 2232304668 is about 1306.9264751614.

The spelling of 2232304668 in words is "two billion, two hundred thirty-two million, three hundred four thousand, six hundred sixty-eight".