242518080 has 224 divisors, whose sum is σ = 889528320. Its totient is φ = 54835200.

The previous prime is 242518063. The next prime is 242518093. The reversal of 242518080 is 80815242.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1014601 + ... + 1014839.

Almost surely, 2^242518080 is an apocalyptic number.

242518080 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 242518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444764160).

242518080 is an abundant number, since it is smaller than the sum of its proper divisors (647010240).

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

242518080 is a wasteful number, since it uses less digits than its factorization.

242518080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 242518080 is about 15572.9920053919. The cubic root of 242518080 is about 623.6123496291.

The spelling of 242518080 in words is "two hundred forty-two million, five hundred eighteen thousand, eighty".