2558537680 has 20 divisors (see below), whose sum is σ = 5948600292. Its totient is φ = 1023415040.

The previous prime is 2558537659. The next prime is 2558537713. The reversal of 2558537680 is 867358552.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 749226384 + 1809311296 = 27372^2 + 42536^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2558537680² = 13092230119959564800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15990781 + ... + 15990940.

Almost surely, 2^2558537680 is an apocalyptic number.

2558537680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2558537680 is an abundant number, since it is smaller than the sum of its proper divisors (3390062612).

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

2558537680 is a wasteful number, since it uses less digits than its factorization.

2558537680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31981734 (or 31981728 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

The square root of 2558537680 is about 50581.9896801223. The cubic root of 2558537680 is about 1367.7202356440.

The spelling of 2558537680 in words is "two billion, five hundred fifty-eight million, five hundred thirty-seven thousand, six hundred eighty".