234150782240 has 192 divisors, whose sum is σ = 590463820800. Its totient is φ = 87587205120.

The previous prime is 234150782231. The next prime is 234150782273. The reversal of 234150782240 is 42287051432.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 234150782194 and 234150782203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27340199 + ... + 27348761.

It is an arithmetic number, because the mean of its divisors is an integer number (3075332400).

Almost surely, 2^234150782240 is an apocalyptic number.

234150782240 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 234150782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295231910400).

234150782240 is an abundant number, since it is smaller than the sum of its proper divisors (356313038560).

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

234150782240 is a wasteful number, since it uses less digits than its factorization.

234150782240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8795 (or 8787 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The spelling of 234150782240 in words is "two hundred thirty-four billion, one hundred fifty million, seven hundred eighty-two thousand, two hundred forty".