2558522848 has 144 divisors (see below), whose sum is σ = 6324699024. Its totient is φ = 1011978240.

The previous prime is 2558522807. The next prime is 2558522851. The reversal of 2558522848 is 8482258552.

It is a super-2 number, since 2×2558522848² = 13092078327476062208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 23 ways as a sum of consecutive naturals, for example, 1411863 + ... + 1413673.

It is an arithmetic number, because the mean of its divisors is an integer number (43921521).

Almost surely, 2^2558522848 is an apocalyptic number.

2558522848 is a gapful number since it is divisible by the number (28) 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 2558522848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162349512).

2558522848 is an abundant number, since it is smaller than the sum of its proper divisors (3766176176).

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

2558522848 is a wasteful number, since it uses less digits than its factorization.

2558522848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1890 counting only the distinct ones).

The product of its digits is 2048000, while the sum is 49.

The square root of 2558522848 is about 50581.8430664601. The cubic root of 2558522848 is about 1367.7175927195.

The spelling of 2558522848 in words is "two billion, five hundred fifty-eight million, five hundred twenty-two thousand, eight hundred forty-eight".