241552080 has 240 divisors, whose sum is σ = 1011613824. Its totient is φ = 50181120.

The previous prime is 241552063. The next prime is 241552127. The reversal of 241552080 is 80255142.

It is a happy number.

241552080 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 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, 53262 + ... + 57618.

Almost surely, 2^241552080 is an apocalyptic number.

241552080 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 241552080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505806912).

241552080 is an abundant number, since it is smaller than the sum of its proper divisors (770061744).

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

241552080 is a wasteful number, since it uses less digits than its factorization.

241552080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4394 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 241552080 is about 15541.9458241238. The cubic root of 241552080 is about 622.7832552302.

The spelling of 241552080 in words is "two hundred forty-one million, five hundred fifty-two thousand, eighty".