242530080 has 96 divisors (see below), whose sum is σ = 822757824. Its totient is φ = 59698176.

The previous prime is 242530069. The next prime is 242530087. The reversal of 242530080 is 80035242.

242530080 is digitally balanced in base 2 and base 3, because in such bases 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242530080.

It is not an unprimeable number, because it can be changed into a prime (242530087) 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, 13194 + ... + 25673.

It is an arithmetic number, because the mean of its divisors is an integer number (8570394).

Almost surely, 2^242530080 is an apocalyptic number.

242530080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242530080 is an abundant number, since it is smaller than the sum of its proper divisors (580227744).

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

242530080 is a wasteful number, since it uses less digits than its factorization.

242530080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38898 (or 38890 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 242530080 is about 15573.3772830430. The cubic root of 242530080 is about 623.6226350819.

The spelling of 242530080 in words is "two hundred forty-two million, five hundred thirty thousand, eighty".