242660880 has 320 divisors, whose sum is σ = 1042790400. Its totient is φ = 50388480.

The previous prime is 242660843. The next prime is 242660881. The reversal of 242660880 is 88066242.

242660880 is a `hidden beast` number, since 2 + 42 + 6 + 608 + 8 + 0 = 666.

242660880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×242660880⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242660881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165591 + ... + 167049.

It is an arithmetic number, because the mean of its divisors is an integer number (3258720).

Almost surely, 2^242660880 is an apocalyptic number.

242660880 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 242660880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521395200).

242660880 is an abundant number, since it is smaller than the sum of its proper divisors (800129520).

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

242660880 is a wasteful number, since it uses less digits than its factorization.

242660880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 242660880 is about 15577.5761914362. The cubic root of 242660880 is about 623.7347245199.

The spelling of 242660880 in words is "two hundred forty-two million, six hundred sixty thousand, eight hundred eighty".