258820830240 has 1536 divisors, whose sum is σ = 1100832768000. Its totient is φ = 50721914880.

The previous prime is 258820830227. The next prime is 258820830253. The reversal of 258820830240 is 42038028852.

It is an interprime number because it is at equal distance from previous prime (258820830227) and next prime (258820830253).

It is a super-2 number, since 2×258820830240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 258820830192 and 258820830201.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1648540242 + ... + 1648540398.

It is an arithmetic number, because the mean of its divisors is an integer number (716688000).

Almost surely, 2^258820830240 is an apocalyptic number.

258820830240 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 258820830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550416384000).

258820830240 is an abundant number, since it is smaller than the sum of its proper divisors (842011937760).

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

258820830240 is a wasteful number, since it uses less digits than its factorization.

258820830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 258820830240 in words is "two hundred fifty-eight billion, eight hundred twenty million, eight hundred thirty thousand, two hundred forty".