242075988 has 216 divisors, whose sum is σ = 815645376. Its totient is φ = 59051520.

The previous prime is 242075969. The next prime is 242076001. The reversal of 242075988 is 889570242.

It is a super-2 number, since 2×242075988² = 117201567932352288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 518131 + ... + 518597.

It is an arithmetic number, because the mean of its divisors is an integer number (3776136).

Almost surely, 2^242075988 is an apocalyptic number.

242075988 is a gapful number since it is divisible by the number (28) 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 242075988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407822688).

242075988 is an abundant number, since it is smaller than the sum of its proper divisors (573569388).

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

242075988 is a wasteful number, since it uses less digits than its factorization.

242075988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 242075988 is about 15558.7913412321. The cubic root of 242075988 is about 623.2331865253.

The spelling of 242075988 in words is "two hundred forty-two million, seventy-five thousand, nine hundred eighty-eight".