259403709240 has 384 divisors, whose sum is σ = 963942819840. Its totient is φ = 59933196288.

The previous prime is 259403709221. The next prime is 259403709241. The reversal of 259403709240 is 42907304952.

259403709240 is a `hidden beast` number, since 2 + 59 + 403 + 70 + 92 + 40 = 666.

It is a super-2 number, since 2×259403709240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259403709241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30467224 + ... + 30475736.

It is an arithmetic number, because the mean of its divisors is an integer number (2510267760).

Almost surely, 2^259403709240 is an apocalyptic number.

259403709240 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 259403709240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481971409920).

259403709240 is an abundant number, since it is smaller than the sum of its proper divisors (704539110600).

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

259403709240 is a wasteful number, since it uses less digits than its factorization.

259403709240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8943 (or 8936 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 259403709240 in words is "two hundred fifty-nine billion, four hundred three million, seven hundred nine thousand, two hundred forty".