241015200 has 144 divisors (see below), whose sum is σ = 789699456. Its totient is φ = 63846400.

The previous prime is 241015199. The next prime is 241015211. The reversal of 241015200 is 2510142.

241015200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 241015200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558985 + ... + 559415.

It is an arithmetic number, because the mean of its divisors is an integer number (5484024).

Almost surely, 2^241015200 is an apocalyptic number.

241015200 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 241015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394849728).

241015200 is an abundant number, since it is smaller than the sum of its proper divisors (548684256).

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

241015200 is a wasteful number, since it uses less digits than its factorization.

241015200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 241015200 is about 15524.6642475771. The cubic root of 241015200 is about 622.3215081549.

Adding to 241015200 its reverse (2510142), we get a palindrome (243525342).

The spelling of 241015200 in words is "two hundred forty-one million, fifteen thousand, two hundred".