259140240 has 180 divisors, whose sum is σ = 919415484. Its totient is φ = 65401344.

The previous prime is 259140199. The next prime is 259140251. The reversal of 259140240 is 42041952.

259140240 is a `hidden beast` number, since 259 + 1 + 402 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 163021824 + 96118416 = 12768^2 + 9804^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 259422 + ... + 260418.

Almost surely, 2^259140240 is an apocalyptic number.

259140240 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 259140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459707742).

259140240 is an abundant number, since it is smaller than the sum of its proper divisors (660275244).

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

259140240 is a wasteful number, since it uses less digits than its factorization.

259140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 259140240 is about 16097.8333945907. The cubic root of 259140240 is about 637.5461373760.

The spelling of 259140240 in words is "two hundred fifty-nine million, one hundred forty thousand, two hundred forty".