2558019312 has 160 divisors (see below), whose sum is σ = 7619512320. Its totient is φ = 820800000.

The previous prime is 2558019283. The next prime is 2558019319. The reversal of 2558019312 is 2139108552.

2558019312 is a `hidden beast` number, since 2 + 558 + 0 + 1 + 93 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2558019319) 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, 3361012 + ... + 3361772.

It is an arithmetic number, because the mean of its divisors is an integer number (47621952).

Almost surely, 2^2558019312 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 2558019312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809756160).

2558019312 is an abundant number, since it is smaller than the sum of its proper divisors (5061493008).

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

2558019312 is a wasteful number, since it uses less digits than its factorization.

2558019312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 2558019312 is about 50576.8653832956. The cubic root of 2558019312 is about 1367.6278612258.

The spelling of 2558019312 in words is "two billion, five hundred fifty-eight million, nineteen thousand, three hundred twelve".