229984842240 has 240 divisors, whose sum is σ = 826004507328. Its totient is φ = 61329125376.

The previous prime is 229984842173. The next prime is 229984842257. The reversal of 229984842240 is 42248489922.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437229 + ... + 806931.

Almost surely, 2^229984842240 is an apocalyptic number.

229984842240 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 229984842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413002253664).

229984842240 is an abundant number, since it is smaller than the sum of its proper divisors (596019665088).

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

229984842240 is an frugal number, since it uses more digits than its factorization.

229984842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369741 (or 369713 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 229984842240 in words is "two hundred twenty-nine billion, nine hundred eighty-four million, eight hundred forty-two thousand, two hundred forty".