242560080 has 480 divisors, whose sum is σ = 1044576000. Its totient is φ = 49102848.

The previous prime is 242560051. The next prime is 242560081. The reversal of 242560080 is 80065242.

242560080 is a `hidden beast` number, since 24 + 2 + 560 + 0 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242560081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1627846 + ... + 1627994.

It is an arithmetic number, because the mean of its divisors is an integer number (2176200).

Almost surely, 2^242560080 is an apocalyptic number.

242560080 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 242560080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522288000).

242560080 is an abundant number, since it is smaller than the sum of its proper divisors (802015920).

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

242560080 is a wasteful number, since it uses less digits than its factorization.

242560080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 242560080 is about 15574.3404354727. The cubic root of 242560080 is about 623.6483472296.

The spelling of 242560080 in words is "two hundred forty-two million, five hundred sixty thousand, eighty".