2558979072 has 396 divisors, whose sum is σ = 8415036864. Its totient is φ = 747601920.

The previous prime is 2558979001. The next prime is 2558979079. The reversal of 2558979072 is 2709798552.

It is not an unprimeable number, because it can be changed into a prime (2558979079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48282598 + ... + 48282650.

Almost surely, 2^2558979072 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 2558979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207518432).

2558979072 is an abundant number, since it is smaller than the sum of its proper divisors (5856057792).

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

2558979072 is a wasteful number, since it uses less digits than its factorization.

2558979072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 2558979072 is about 50586.3526259801. The cubic root of 2558979072 is about 1367.7988829200.

The spelling of 2558979072 in words is "two billion, five hundred fifty-eight million, nine hundred seventy-nine thousand, seventy-two".