254133340240 has 320 divisors, whose sum is σ = 688143456000. Its totient is φ = 86478077952.

The previous prime is 254133340217. The next prime is 254133340267. The reversal of 254133340240 is 42043331452.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296537892 + ... + 296538748.

It is an arithmetic number, because the mean of its divisors is an integer number (2150448300).

Almost surely, 2^254133340240 is an apocalyptic number.

254133340240 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 254133340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344071728000).

254133340240 is an abundant number, since it is smaller than the sum of its proper divisors (434010115760).

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

254133340240 is a wasteful number, since it uses less digits than its factorization.

254133340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 254133340240 its reverse (42043331452), we get a palindrome (296176671692).

The spelling of 254133340240 in words is "two hundred fifty-four billion, one hundred thirty-three million, three hundred forty thousand, two hundred forty".