2558466456 has 384 divisors, whose sum is σ = 8648156160. Its totient is φ = 612817920.

The previous prime is 2558466439. The next prime is 2558466481. The reversal of 2558466456 is 6546648552.

2558466456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2558466399 and 2558466408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48272926 + ... + 48272978.

It is an arithmetic number, because the mean of its divisors is an integer number (22521240).

Almost surely, 2^2558466456 is an apocalyptic number.

2558466456 is a gapful number since it is divisible by the number (26) 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 2558466456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324078080).

2558466456 is an abundant number, since it is smaller than the sum of its proper divisors (6089689704).

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

2558466456 is a wasteful number, since it uses less digits than its factorization.

2558466456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 132 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 51.

The square root of 2558466456 is about 50581.2856301617. The cubic root of 2558466456 is about 1367.7075440962.

The spelling of 2558466456 in words is "two billion, five hundred fifty-eight million, four hundred sixty-six thousand, four hundred fifty-six".