2232567792 has 640 divisors, whose sum is σ = 8610560000. Its totient is φ = 548674560.

The previous prime is 2232567791. The next prime is 2232567803. The reversal of 2232567792 is 2977652322.

It is a super-3 number, since 3×2232567792³ (a number of 29 digits) contains 333 as substring.

Its product of digits (635040) is a multiple of the sum of its prime divisors (105).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232567791) 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 127 ways as a sum of consecutive naturals, for example, 36599442 + ... + 36599502.

It is an arithmetic number, because the mean of its divisors is an integer number (13454000).

Almost surely, 2^2232567792 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 2232567792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305280000).

2232567792 is an abundant number, since it is smaller than the sum of its proper divisors (6377992208).

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

2232567792 is a wasteful number, since it uses less digits than its factorization.

2232567792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 2232567792 is about 47250.0559999668. The cubic root of 2232567792 is about 1306.9778227240.

The spelling of 2232567792 in words is "two billion, two hundred thirty-two million, five hundred sixty-seven thousand, seven hundred ninety-two".