2558506100 has 72 divisors (see below), whose sum is σ = 5777630208. Its totient is φ = 982633600.

The previous prime is 2558506091. The next prime is 2558506157. The reversal of 2558506100 is 16058552.

It is a congruent number.

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, 243965 + ... + 254235.

It is an arithmetic number, because the mean of its divisors is an integer number (80244864).

Almost surely, 2^2558506100 is an apocalyptic number.

2558506100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2558506100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888815104).

2558506100 is an abundant number, since it is smaller than the sum of its proper divisors (3219124108).

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

2558506100 is a wasteful number, since it uses less digits than its factorization.

2558506100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10385 (or 10378 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 2558506100 is about 50581.6775127121. The cubic root of 2558506100 is about 1367.7146083694.

The spelling of 2558506100 in words is "two billion, five hundred fifty-eight million, five hundred six thousand, one hundred".