241024120 has 64 divisors (see below), whose sum is σ = 576576000. Its totient is φ = 90419328.

The previous prime is 241024093. The next prime is 241024123. The reversal of 241024120 is 21420142.

It is a junction number, because it is equal to n+sod(n) for n = 241024094 and 241024103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241024123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 76741 + ... + 79819.

It is an arithmetic number, because the mean of its divisors is an integer number (9009000).

Almost surely, 2^241024120 is an apocalyptic number.

241024120 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 241024120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288288000).

241024120 is an abundant number, since it is smaller than the sum of its proper divisors (335551880).

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

241024120 is a wasteful number, since it uses less digits than its factorization.

241024120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 241024120 is about 15524.9515297150. The cubic root of 241024120 is about 622.3291854568.

Adding to 241024120 its reverse (21420142), we get a palindrome (262444262).

It can be divided in two parts, 24 and 1024120, that added together give a square (1024144 = 1012²).

The spelling of 241024120 in words is "two hundred forty-one million, twenty-four thousand, one hundred twenty".