241812288 has 126 divisors (see below), whose sum is σ = 714212694. Its totient is φ = 78194688.

The previous prime is 241812287. The next prime is 241812289. The reversal of 241812288 is 882218142.

It is an interprime number because it is at equal distance from previous prime (241812287) and next prime (241812289).

It can be written as a sum of positive squares in 3 ways, for example, as 7354944 + 234457344 = 2712^2 + 15312^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241812287) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2716948 + ... + 2717036.

Almost surely, 2^241812288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241812288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357106347).

241812288 is an abundant number, since it is smaller than the sum of its proper divisors (472400406).

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

241812288 is an equidigital number, since it uses as much as digits as its factorization.

241812288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 147 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 241812288 is about 15550.3147235032. The cubic root of 241812288 is about 623.0068026468.

It can be divided in two parts, 2418 and 12288, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 241812288 in words is "two hundred forty-one million, eight hundred twelve thousand, two hundred eighty-eight".