2232729600 has 360 divisors, whose sum is σ = 7801167360. Its totient is φ = 562298880.

The previous prime is 2232729599. The next prime is 2232729637. The reversal of 2232729600 is 69272322.

It is a super-3 number, since 3×2232729600³ (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 (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28262361 + ... + 28262439.

Almost surely, 2^2232729600 is an apocalyptic number.

2232729600 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 2232729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900583680).

2232729600 is an abundant number, since it is smaller than the sum of its proper divisors (5568437760).

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

2232729600 is an equidigital number, since it uses as much as digits as its factorization.

2232729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2232729600 is about 47251.7682208825. The cubic root of 2232729600 is about 1307.0093968841.

The spelling of 2232729600 in words is "two billion, two hundred thirty-two million, seven hundred twenty-nine thousand, six hundred".