2558624145 has 64 divisors (see below), whose sum is σ = 5132574720. Its totient is φ = 1057363200.

The previous prime is 2558624143. The next prime is 2558624161. The reversal of 2558624145 is 5414268552.

It is not a de Polignac number, because 2558624145 - 2¹ = 2558624143 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2558624097 and 2558624106.

It is not an unprimeable number, because it can be changed into a prime (2558624143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202936 + ... + 215174.

It is an arithmetic number, because the mean of its divisors is an integer number (80196480).

Almost surely, 2^2558624145 is an apocalyptic number.

It is an amenable number.

2558624145 is an abundant number, since it is smaller than the sum of its proper divisors (2573950575).

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

2558624145 is a wasteful number, since it uses less digits than its factorization.

2558624145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12446.

The product of its digits is 384000, while the sum is 42.

The square root of 2558624145 is about 50582.8443743529. The cubic root of 2558624145 is about 1367.7356426998.

The spelling of 2558624145 in words is "two billion, five hundred fifty-eight million, six hundred twenty-four thousand, one hundred forty-five".