2232641768 has 64 divisors (see below), whose sum is σ = 4844400000. Its totient is φ = 944877312.

The previous prime is 2232641767. The next prime is 2232641837. The reversal of 2232641768 is 8671462322.

It is a super-3 number, since 3×2232641768³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2232641767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3045530 + ... + 3046262.

It is an arithmetic number, because the mean of its divisors is an integer number (75693750).

Almost surely, 2^2232641768 is an apocalyptic number.

2232641768 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 2232641768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422200000).

2232641768 is an abundant number, since it is smaller than the sum of its proper divisors (2611758232).

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

2232641768 is a wasteful number, since it uses less digits than its factorization.

2232641768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1350 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 2232641768 is about 47250.8388073693. The cubic root of 2232641768 is about 1306.9922581085.

The spelling of 2232641768 in words is "two billion, two hundred thirty-two million, six hundred forty-one thousand, seven hundred sixty-eight".