254112642 has 96 divisors (see below), whose sum is σ = 659902464. Its totient is φ = 69141600.

The previous prime is 254112623. The next prime is 254112643. The reversal of 254112642 is 246211452.

254112642 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 12 + 642 = 666.

254112642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (254112643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261217 + ... + 262187.

It is an arithmetic number, because the mean of its divisors is an integer number (6873984).

Almost surely, 2^254112642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254112642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329951232).

254112642 is an abundant number, since it is smaller than the sum of its proper divisors (405789822).

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

254112642 is a wasteful number, since it uses less digits than its factorization.

254112642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1081 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 254112642 is about 15940.9109526401. The cubic root of 254112642 is about 633.3961567105.

It can be divided in two parts, 254 and 112642, that added together give a square (112896 = 336²).

The spelling of 254112642 in words is "two hundred fifty-four million, one hundred twelve thousand, six hundred forty-two".