232802740224 has 576 divisors, whose sum is σ = 734080838400. Its totient is φ = 73622421504.

The previous prime is 232802740217. The next prime is 232802740243. The reversal of 232802740224 is 422047208232.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 865437562 + ... + 865437830.

It is an arithmetic number, because the mean of its divisors is an integer number (1274445900).

Almost surely, 2^232802740224 is an apocalyptic number.

232802740224 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 232802740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367040419200).

232802740224 is an abundant number, since it is smaller than the sum of its proper divisors (501278098176).

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

232802740224 is an equidigital number, since it uses as much as digits as its factorization.

232802740224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

Adding to 232802740224 its reverse (422047208232), we get a palindrome (654849948456).

The spelling of 232802740224 in words is "two hundred thirty-two billion, eight hundred two million, seven hundred forty thousand, two hundred twenty-four".