242257680 has 240 divisors, whose sum is σ = 944296704. Its totient is φ = 54512640.

The previous prime is 242257607. The next prime is 242257711. The reversal of 242257680 is 86752242.

242257680 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 576 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 357502 + ... + 358178.

Almost surely, 2^242257680 is an apocalyptic number.

242257680 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 242257680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472148352).

242257680 is an abundant number, since it is smaller than the sum of its proper divisors (702039024).

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

242257680 is a wasteful number, since it uses less digits than its factorization.

242257680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 242257680 is about 15564.6291314634. The cubic root of 242257680 is about 623.3890716900.

The spelling of 242257680 in words is "two hundred forty-two million, two hundred fifty-seven thousand, six hundred eighty".