240852248289 has 27 divisors (see below), whose sum is σ = 360371719929. Its totient is φ = 155003849280.

The previous prime is 240852248233. The next prime is 240852248317. The reversal of 240852248289 is 982842258042.

The square root of 240852248289 is 490767.

It is a perfect power (a square), and thus also a powerful number.

240852248289 is a `hidden beast` number, since 2 + 4 + 0 + 85 + 2 + 2 + 482 + 89 = 666.

240852248289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 100721812689 + 140130435600 = 317367^2 + 374340^2 .

It is not a de Polignac number, because 240852248289 - 2²¹ = 240850151137 is a prime.

It is a super-2 number, since 2×240852248289² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (240852244289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42693909 + ... + 42699549.

Almost surely, 2^240852248289 is an apocalyptic number.

240852248289 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

240852248289 is the 490767-th square number.

240852248289 is the 245384-th centered octagonal number.

It is an amenable number.

240852248289 is a deficient number, since it is larger than the sum of its proper divisors (119519471640).

240852248289 is an frugal number, since it uses more digits than its factorization.

240852248289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11346 (or 5673 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 240852248289 in words is "two hundred forty billion, eight hundred fifty-two million, two hundred forty-eight thousand, two hundred eighty-nine".