242974080 has 320 divisors, whose sum is σ = 896029200. Its totient is φ = 62705664.

The previous prime is 242974073. The next prime is 242974099. The reversal of 242974080 is 80479242.

242974080 is a `hidden beast` number, since 242 + 9 + 7 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 2229066 + ... + 2229174.

Almost surely, 2^242974080 is an apocalyptic number.

242974080 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 242974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448014600).

242974080 is an abundant number, since it is smaller than the sum of its proper divisors (653055120).

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

242974080 is a wasteful number, since it uses less digits than its factorization.

242974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 242974080 is about 15587.6258615608. The cubic root of 242974080 is about 624.0029585659.

The spelling of 242974080 in words is "two hundred forty-two million, nine hundred seventy-four thousand, eighty".