2558953512 has 128 divisors (see below), whose sum is σ = 7268275200. Its totient is φ = 833976000.

The previous prime is 2558953511. The next prime is 2558953531. The reversal of 2558953512 is 2153598552.

It is a happy number.

2558953512 is a `hidden beast` number, since 2 + 5 + 5 + 89 + 53 + 512 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2558953511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2184687 + ... + 2185857.

It is an arithmetic number, because the mean of its divisors is an integer number (56783400).

Almost surely, 2^2558953512 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 2558953512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634137600).

2558953512 is an abundant number, since it is smaller than the sum of its proper divisors (4709321688).

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

2558953512 is a wasteful number, since it uses less digits than its factorization.

2558953512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1394 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The square root of 2558953512 is about 50586.0999880402. The cubic root of 2558953512 is about 1367.7943288831.

The spelling of 2558953512 in words is "two billion, five hundred fifty-eight million, nine hundred fifty-three thousand, five hundred twelve".