234241153280 has 144 divisors (see below), whose sum is σ = 570226036464. Its totient is φ = 92181626880.

The previous prime is 234241153277. The next prime is 234241153291. The reversal of 234241153280 is 82351142432.

It can be written as a sum of positive squares in 8 ways, for example, as 65274118144 + 168967035136 = 255488^2 + 411056^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 234241153280.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19809770 + ... + 19821590.

It is an arithmetic number, because the mean of its divisors is an integer number (3959903031).

Almost surely, 2^234241153280 is an apocalyptic number.

234241153280 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 234241153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285113018232).

234241153280 is an abundant number, since it is smaller than the sum of its proper divisors (335984883184).

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

234241153280 is a wasteful number, since it uses less digits than its factorization.

234241153280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12092 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 234241153280 in words is "two hundred thirty-four billion, two hundred forty-one million, one hundred fifty-three thousand, two hundred eighty".