254042917110 has 640 divisors, whose sum is σ = 764358819840. Its totient is φ = 60354201600.

The previous prime is 254042917099. The next prime is 254042917147. The reversal of 254042917110 is 11719240452.

254042917110 is a `hidden beast` number, since 2 + 54 + 0 + 429 + 171 + 10 = 666.

254042917110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 2000337867 + ... + 2000337993.

It is an arithmetic number, because the mean of its divisors is an integer number (1194310656).

Almost surely, 2^254042917110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254042917110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382179409920).

254042917110 is an abundant number, since it is smaller than the sum of its proper divisors (510315902730).

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

254042917110 is a wasteful number, since it uses less digits than its factorization.

254042917110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 254042917110 in words is "two hundred fifty-four billion, forty-two million, nine hundred seventeen thousand, one hundred ten".