254255430240 has 288 divisors, whose sum is σ = 996051603456. Its totient is φ = 57854407680.

The previous prime is 254255430203. The next prime is 254255430251. The reversal of 254255430240 is 42034552452.

254255430240 is a `hidden beast` number, since 2 + 54 + 2 + 554 + 30 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 254255430195 and 254255430204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2191285 + ... + 2304395.

It is an arithmetic number, because the mean of its divisors is an integer number (3458512512).

Almost surely, 2^254255430240 is an apocalyptic number.

254255430240 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 254255430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498025801728).

254255430240 is an abundant number, since it is smaller than the sum of its proper divisors (741796173216).

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

254255430240 is a wasteful number, since it uses less digits than its factorization.

254255430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113362 (or 113351 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 254255430240 its reverse (42034552452), we get a palindrome (296289982692).

The spelling of 254255430240 in words is "two hundred fifty-four billion, two hundred fifty-five million, four hundred thirty thousand, two hundred forty".