241215040 has 224 divisors, whose sum is σ = 691286400. Its totient is φ = 79134720.

The previous prime is 241215019. The next prime is 241215049. The reversal of 241215040 is 40512142.

It is a junction number, because it is equal to n+sod(n) for n = 241214999 and 241215017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241215049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1735291 + ... + 1735429.

It is an arithmetic number, because the mean of its divisors is an integer number (3086100).

Almost surely, 2^241215040 is an apocalyptic number.

241215040 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 241215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345643200).

241215040 is an abundant number, since it is smaller than the sum of its proper divisors (450071360).

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

241215040 is a wasteful number, since it uses less digits than its factorization.

241215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 241215040 is about 15531.0991240157. The cubic root of 241215040 is about 622.4934618647.

Adding to 241215040 its reverse (40512142), we get a palindrome (281727182).

It can be divided in two parts, 24121 and 5040, that added together give a triangular number (29161 = T₂₄₁).

The spelling of 241215040 in words is "two hundred forty-one million, two hundred fifteen thousand, forty".