241580080 has 80 divisors (see below), whose sum is σ = 643869504. Its totient is φ = 82575360.

The previous prime is 241580051. The next prime is 241580089. The reversal of 241580080 is 80085142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (241580089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358624 + ... + 359296.

Almost surely, 2^241580080 is an apocalyptic number.

241580080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

241580080 is the 8974-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241580080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321934752).

241580080 is an abundant number, since it is smaller than the sum of its proper divisors (402289424).

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

241580080 is a wasteful number, since it uses less digits than its factorization.

241580080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 241580080 is about 15542.8465861309. The cubic root of 241580080 is about 622.8073180292.

The spelling of 241580080 in words is "two hundred forty-one million, five hundred eighty thousand, eighty".