242098560 has 192 divisors, whose sum is σ = 912234960. Its totient is φ = 58675200.

The previous prime is 242098543. The next prime is 242098567. The reversal of 242098560 is 65890242.

It is a happy number.

242098560 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 98 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×242098560² = 117223425508147200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242098567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61450 + ... + 65270.

Almost surely, 2^242098560 is an apocalyptic number.

242098560 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 242098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456117480).

242098560 is an abundant number, since it is smaller than the sum of its proper divisors (670136400).

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

242098560 is a wasteful number, since it uses less digits than its factorization.

242098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 242098560 is about 15559.5167020059. The cubic root of 242098560 is about 623.2525567272.

The spelling of 242098560 in words is "two hundred forty-two million, ninety-eight thousand, five hundred sixty".