2232841464 has 384 divisors, whose sum is σ = 7603814400. Its totient is φ = 600462720.

The previous prime is 2232841463. The next prime is 2232841477. The reversal of 2232841464 is 4641482322.

2232841464 is a `hidden beast` number, since 2 + 232 + 8 + 414 + 6 + 4 = 666.

It is a super-3 number, since 3×2232841464³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232841463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28263777 + ... + 28263855.

It is an arithmetic number, because the mean of its divisors is an integer number (19801600).

Almost surely, 2^2232841464 is an apocalyptic number.

2232841464 is a gapful number since it is divisible by the number (24) 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 2232841464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801907200).

2232841464 is an abundant number, since it is smaller than the sum of its proper divisors (5370972936).

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

2232841464 is a wasteful number, since it uses less digits than its factorization.

2232841464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 2232841464 is about 47252.9519077909. The cubic root of 2232841464 is about 1307.0312244053.

The spelling of 2232841464 in words is "two billion, two hundred thirty-two million, eight hundred forty-one thousand, four hundred sixty-four".