2232684000 has 288 divisors, whose sum is σ = 8220846816. Its totient is φ = 595123200.

The previous prime is 2232683983. The next prime is 2232684019. The reversal of 2232684000 is 4862322.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×2232684000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 970852 + ... + 973148.

It is an arithmetic number, because the mean of its divisors is an integer number (28544607).

Almost surely, 2^2232684000 is an apocalyptic number.

2232684000 is a gapful number since it is divisible by the number (20) 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 2232684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110423408).

2232684000 is an abundant number, since it is smaller than the sum of its proper divisors (5988162816).

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

2232684000 is an equidigital number, since it uses as much as digits as its factorization.

2232684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2232684000 is about 47251.2856967935. The cubic root of 2232684000 is about 1307.0004989513. Note that the first 3 decimals are identical.

The spelling of 2232684000 in words is "two billion, two hundred thirty-two million, six hundred eighty-four thousand".