254242444240 has 40 divisors (see below), whose sum is σ = 591423037128. Its totient is φ = 101643755520.

The previous prime is 254242444231. The next prime is 254242444241. The reversal of 254242444240 is 42444242452.

254242444240 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 21150466624 + 233091977616 = 145432^2 + 482796^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 254242444240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254242444241) 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 7 ways as a sum of consecutive naturals, for example, 677601 + ... + 983680.

Almost surely, 2^254242444240 is an apocalyptic number.

254242444240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254242444240 is an abundant number, since it is smaller than the sum of its proper divisors (337180592888).

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

254242444240 is a wasteful number, since it uses less digits than its factorization.

254242444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663207 (or 1663201 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 37.

Adding to 254242444240 its reverse (42444242452), we get a palindrome (296686686692).

The spelling of 254242444240 in words is "two hundred fifty-four billion, two hundred forty-two million, four hundred forty-four thousand, two hundred forty".