259342020 has 384 divisors, whose sum is σ = 1019289600. Its totient is φ = 53374464.

The previous prime is 259342019. The next prime is 259342033. The reversal of 259342020 is 20243952.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1651782 + ... + 1651938.

It is an arithmetic number, because the mean of its divisors is an integer number (2654400).

Almost surely, 2^259342020 is an apocalyptic number.

259342020 is a gapful number since it is divisible by the number (20) 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 259342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509644800).

259342020 is an abundant number, since it is smaller than the sum of its proper divisors (759947580).

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

259342020 is a wasteful number, since it uses less digits than its factorization.

259342020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 259342020 is about 16104.0994780832. The cubic root of 259342020 is about 637.7115699160.

Adding to 259342020 its reverse (20243952), we get a palindrome (279585972).

The spelling of 259342020 in words is "two hundred fifty-nine million, three hundred forty-two thousand, twenty".