242130480 has 80 divisors (see below), whose sum is σ = 752570880. Its totient is φ = 64399104.

The previous prime is 242130467. The next prime is 242130481. The reversal of 242130480 is 84031242.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242130480.

It is not an unprimeable number, because it can be changed into a prime (242130481) 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, 110031 + ... + 112209.

It is an arithmetic number, because the mean of its divisors is an integer number (9407136).

Almost surely, 2^242130480 is an apocalyptic number.

242130480 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 242130480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376285440).

242130480 is an abundant number, since it is smaller than the sum of its proper divisors (510440400).

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

242130480 is a wasteful number, since it uses less digits than its factorization.

242130480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 242130480 is about 15560.5424069985. The cubic root of 242130480 is about 623.2799468768.

The spelling of 242130480 in words is "two hundred forty-two million, one hundred thirty thousand, four hundred eighty".