241515120 has 240 divisors, whose sum is σ = 950617728. Its totient is φ = 50158080.

The previous prime is 241515119. The next prime is 241515151. The reversal of 241515120 is 21515142.

241515120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×241515120² = 116659106377228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128427 + ... + 130293.

Almost surely, 2^241515120 is an apocalyptic number.

241515120 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 241515120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475308864).

241515120 is an abundant number, since it is smaller than the sum of its proper divisors (709102608).

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

241515120 is a wasteful number, since it uses less digits than its factorization.

241515120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 241515120 is about 15540.7567383316. The cubic root of 241515120 is about 622.7514894881.

The spelling of 241515120 in words is "two hundred forty-one million, five hundred fifteen thousand, one hundred twenty".