254052891960 has 256 divisors, whose sum is σ = 936393523200. Its totient is φ = 53842309632.

The previous prime is 254052891919. The next prime is 254052892021. The reversal of 254052891960 is 69198250452.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 580779 + ... + 919461.

It is an arithmetic number, because the mean of its divisors is an integer number (3657787200).

Almost surely, 2^254052891960 is an apocalyptic number.

254052891960 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 254052891960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468196761600).

254052891960 is an abundant number, since it is smaller than the sum of its proper divisors (682340631240).

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

254052891960 is a wasteful number, since it uses less digits than its factorization.

254052891960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338770 (or 338766 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 254052891960 in words is "two hundred fifty-four billion, fifty-two million, eight hundred ninety-one thousand, nine hundred sixty".