254142768 has 80 divisors (see below), whose sum is σ = 720489600. Its totient is φ = 76554240.

The previous prime is 254142767. The next prime is 254142769. The reversal of 254142768 is 867241452.

254142768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (254142767) and next prime (254142769).

It is not an unprimeable number, because it can be changed into a prime (254142767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93168 + ... + 95856.

It is an arithmetic number, because the mean of its divisors is an integer number (9006120).

Almost surely, 2^254142768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254142768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360244800).

254142768 is an abundant number, since it is smaller than the sum of its proper divisors (466346832).

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

254142768 is a wasteful number, since it uses less digits than its factorization.

254142768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2884 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 254142768 is about 15941.8558518135. The cubic root of 254142768 is about 633.4211862124.

It can be divided in two parts, 25414 and 2768, that added together give a palindrome (28182).

The spelling of 254142768 in words is "two hundred fifty-four million, one hundred forty-two thousand, seven hundred sixty-eight".