259741040 has 80 divisors (see below), whose sum is σ = 655458048. Its totient is φ = 95152128.

The previous prime is 259741037. The next prime is 259741061. The reversal of 259741040 is 40147952.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 259740988 and 259741006.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 141569 + ... + 143391.

Almost surely, 2^259741040 is an apocalyptic number.

259741040 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 259741040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327729024).

259741040 is an abundant number, since it is smaller than the sum of its proper divisors (395717008).

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

259741040 is a wasteful number, since it uses less digits than its factorization.

259741040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 259741040 is about 16116.4834874113. The cubic root of 259741040 is about 638.0384603538.

Adding to 259741040 its reverse (40147952), we get a palindrome (299888992).

The spelling of 259741040 in words is "two hundred fifty-nine million, seven hundred forty-one thousand, forty".