2558386980 has 72 divisors (see below), whose sum is σ = 7788211704. Its totient is φ = 679795200.

The previous prime is 2558386979. The next prime is 2558387011. The reversal of 2558386980 is 896838552.

2558386980 is a `hidden beast` number, since 2 + 558 + 3 + 8 + 6 + 9 + 80 = 666.

2558386980 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 601917156 + 1956469824 = 24534^2 + 44232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25290 + ... + 75870.

It is an arithmetic number, because the mean of its divisors is an integer number (108169607).

Almost surely, 2^2558386980 is an apocalyptic number.

2558386980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 50580×50581.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2558386980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894105852).

2558386980 is an abundant number, since it is smaller than the sum of its proper divisors (5229824724).

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

2558386980 is a wasteful number, since it uses less digits than its factorization.

2558386980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50877 (or 50872 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The square root of 2558386980 is about 50580.4999975287. The cubic root of 2558386980 is about 1367.6933818298.

The spelling of 2558386980 in words is "two billion, five hundred fifty-eight million, three hundred eighty-six thousand, nine hundred eighty".