2232995968 has 128 divisors (see below), whose sum is σ = 5557939200. Its totient is φ = 871464960.

The previous prime is 2232995953. The next prime is 2232995981. The reversal of 2232995968 is 8695992322.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469828 + ... + 474556.

It is an arithmetic number, because the mean of its divisors is an integer number (43421400).

Almost surely, 2^2232995968 is an apocalyptic number.

2232995968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232995968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778969600).

2232995968 is an abundant number, since it is smaller than the sum of its proper divisors (3324943232).

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

2232995968 is a wasteful number, since it uses less digits than its factorization.

2232995968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798 (or 4786 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 55.

The square root of 2232995968 is about 47254.5867403366. The cubic root of 2232995968 is about 1307.0613708797.

The spelling of 2232995968 in words is "two billion, two hundred thirty-two million, nine hundred ninety-five thousand, nine hundred sixty-eight".