242686080 has 384 divisors, whose sum is σ = 1033643520. Its totient is φ = 51093504.

The previous prime is 242686061. The next prime is 242686111. The reversal of 242686080 is 80686242.

242686080 is a `hidden beast` number, since 2 + 42 + 6 + 8 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523929 + ... + 524391.

It is an arithmetic number, because the mean of its divisors is an integer number (2691780).

Almost surely, 2^242686080 is an apocalyptic number.

242686080 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 242686080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516821760).

242686080 is an abundant number, since it is smaller than the sum of its proper divisors (790957440).

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

242686080 is a wasteful number, since it uses less digits than its factorization.

242686080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 493 counting only the distinct ones).

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

The square root of 242686080 is about 15578.3850254126. The cubic root of 242686080 is about 623.7563151048.

The spelling of 242686080 in words is "two hundred forty-two million, six hundred eighty-six thousand, eighty".