242095760 has 20 divisors (see below), whose sum is σ = 562872828. Its totient is φ = 96838272.

The previous prime is 242095751. The next prime is 242095781. The reversal of 242095760 is 67590242.

It can be written as a sum of positive squares in 2 ways, for example, as 106419856 + 135675904 = 10316^2 + 11648^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×242095760² = 117220714019955200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 242095760.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1513019 + ... + 1513178.

Almost surely, 2^242095760 is an apocalyptic number.

242095760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242095760 is an abundant number, since it is smaller than the sum of its proper divisors (320777068).

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

242095760 is a wasteful number, since it uses less digits than its factorization.

242095760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026210 (or 3026204 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 242095760 is about 15559.4267246579. The cubic root of 242095760 is about 623.2501539676.

The spelling of 242095760 in words is "two hundred forty-two million, ninety-five thousand, seven hundred sixty".