259142268 has 192 divisors, whose sum is σ = 794787840. Its totient is φ = 63763200.

The previous prime is 259142249. The next prime is 259142269. The reversal of 259142268 is 862241952.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259142269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2377398 + ... + 2377506.

It is an arithmetic number, because the mean of its divisors is an integer number (4139520).

Almost surely, 2^259142268 is an apocalyptic number.

259142268 is a gapful number since it is divisible by the number (28) 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 259142268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397393920).

259142268 is an abundant number, since it is smaller than the sum of its proper divisors (535645572).

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

259142268 is a wasteful number, since it uses less digits than its factorization.

259142268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 259142268 is about 16097.8963843106. The cubic root of 259142268 is about 637.5478004911.

It can be divided in two parts, 25914 and 2268, that added together give a palindrome (28182).

The spelling of 259142268 in words is "two hundred fifty-nine million, one hundred forty-two thousand, two hundred sixty-eight".