234564930240 has 224 divisors, whose sum is σ = 750139232256. Its totient is φ = 62098882560.

The previous prime is 234564930239. The next prime is 234564930263. The reversal of 234564930240 is 42039465432.

It is a junction number, because it is equal to n+sod(n) for n = 234564930192 and 234564930201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125233944 + ... + 125235816.

Almost surely, 2^234564930240 is an apocalyptic number.

234564930240 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 234564930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375069616128).

234564930240 is an abundant number, since it is smaller than the sum of its proper divisors (515574302016).

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

234564930240 is a wasteful number, since it uses less digits than its factorization.

234564930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 234564930240 in words is "two hundred thirty-four billion, five hundred sixty-four million, nine hundred thirty thousand, two hundred forty".