2232891648 has 216 divisors, whose sum is σ = 6999702528. Its totient is φ = 680472576.

The previous prime is 2232891637. The next prime is 2232891667. The reversal of 2232891648 is 8461982322.

It is a super-3 number, since 3×2232891648³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 3803611 + ... + 3804197.

Almost surely, 2^2232891648 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 2232891648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499851264).

2232891648 is an abundant number, since it is smaller than the sum of its proper divisors (4766810880).

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

2232891648 is a wasteful number, since it uses less digits than its factorization.

2232891648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 732 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2232891648 is about 47253.4829192516. The cubic root of 2232891648 is about 1307.0410163474.

The spelling of 2232891648 in words is "two billion, two hundred thirty-two million, eight hundred ninety-one thousand, six hundred forty-eight".