259971642 has 144 divisors (see below), whose sum is σ = 706380480. Its totient is φ = 67495680.

The previous prime is 259971637. The next prime is 259971659. The reversal of 259971642 is 246179952.

259971642 is a `hidden beast` number, since 2 + 599 + 7 + 16 + 42 = 666.

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 71 ways as a sum of consecutive naturals, for example, 2300578 + ... + 2300690.

It is an arithmetic number, because the mean of its divisors is an integer number (4905420).

Almost surely, 2^259971642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259971642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353190240).

259971642 is an abundant number, since it is smaller than the sum of its proper divisors (446408838).

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

259971642 is a wasteful number, since it uses less digits than its factorization.

259971642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 175 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 259971642 is about 16123.6361283676. The cubic root of 259971642 is about 638.2272245478.

The spelling of 259971642 in words is "two hundred fifty-nine million, nine hundred seventy-one thousand, six hundred forty-two".