2558561100 has 72 divisors (see below), whose sum is σ = 7602877968. Its totient is φ = 663840000.

The previous prime is 2558561077. The next prime is 2558561107. The reversal of 2558561100 is 11658552.

It is not an unprimeable number, because it can be changed into a prime (2558561107) 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 23 ways as a sum of consecutive naturals, for example, 104151 + ... + 126350.

Almost surely, 2^2558561100 is an apocalyptic number.

2558561100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2558561100 is an abundant number, since it is smaller than the sum of its proper divisors (5044316868).

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

2558561100 is a wasteful number, since it uses less digits than its factorization.

2558561100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230555 (or 230548 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The square root of 2558561100 is about 50582.2211849183. The cubic root of 2558561100 is about 1367.7244088495.

The spelling of 2558561100 in words is "two billion, five hundred fifty-eight million, five hundred sixty-one thousand, one hundred".