254130241050 has 288 divisors, whose sum is σ = 815607619200. Its totient is φ = 58015077120.

The previous prime is 254130241049. The next prime is 254130241081. The reversal of 254130241050 is 50142031452.

254130241050 is a `hidden beast` number, since 2 + 5 + 413 + 0 + 241 + 0 + 5 + 0 = 666.

It is a super-2 number, since 2×254130241050² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68331091 + ... + 68334809.

It is an arithmetic number, because the mean of its divisors is an integer number (2831970900).

Almost surely, 2^254130241050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254130241050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407803809600).

254130241050 is an abundant number, since it is smaller than the sum of its proper divisors (561477378150).

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

254130241050 is a wasteful number, since it uses less digits than its factorization.

254130241050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 254130241050 in words is "two hundred fifty-four billion, one hundred thirty million, two hundred forty-one thousand, fifty".