2558259704 has 128 divisors (see below), whose sum is σ = 6506196480. Its totient is φ = 910656000.

The previous prime is 2558259659. The next prime is 2558259713. The reversal of 2558259704 is 4079528552.

It is a happy number.

It is a super-2 number, since 2×2558259704² = 13089385426220335232, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 807227 + ... + 810389.

It is an arithmetic number, because the mean of its divisors is an integer number (50829660).

Almost surely, 2^2558259704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2558259704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253098240).

2558259704 is an abundant number, since it is smaller than the sum of its proper divisors (3947936776).

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

2558259704 is a wasteful number, since it uses less digits than its factorization.

2558259704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 47.

The square root of 2558259704 is about 50579.2418290350. The cubic root of 2558259704 is about 1367.6707012071.

It can be divided in two parts, 2558 and 259704, that added together give a palindrome (262262).

The spelling of 2558259704 in words is "two billion, five hundred fifty-eight million, two hundred fifty-nine thousand, seven hundred four".