2232541968 has 80 divisors (see below), whose sum is σ = 5853792000. Its totient is φ = 733087872.

The previous prime is 2232541957. The next prime is 2232541979. The reversal of 2232541968 is 8691452322.

It is an interprime number because it is at equal distance from previous prime (2232541957) and next prime (2232541979).

It is a super-3 number, since 3×2232541968³ (a number of 29 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1987455 + ... + 1988577.

It is an arithmetic number, because the mean of its divisors is an integer number (73172400).

Almost surely, 2^2232541968 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 2232541968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926896000).

2232541968 is an abundant number, since it is smaller than the sum of its proper divisors (3621250032).

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

2232541968 is a wasteful number, since it uses less digits than its factorization.

2232541968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1710 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 2232541968 is about 47249.7827296592. The cubic root of 2232541968 is about 1306.9727834556.

The spelling of 2232541968 in words is "two billion, two hundred thirty-two million, five hundred forty-one thousand, nine hundred sixty-eight".