2505605000 has 40 divisors (see below), whose sum is σ = 5870644230. Its totient is φ = 1002240000.

The previous prime is 2505604999. The next prime is 2505605021. The reversal of 2505605000 is 5065052.

2505605000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 400080004 + 2105524996 = 20002^2 + 45886^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 245561 + ... + 255560.

Almost surely, 2^2505605000 is an apocalyptic number.

2505605000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505605000 is an abundant number, since it is smaller than the sum of its proper divisors (3365039230).

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

2505605000 is an equidigital number, since it uses as much as digits as its factorization.

2505605000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501147 (or 501128 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 2505605000 is about 50056.0186191431. The cubic root of 2505605000 is about 1358.2223386122. Note that the first 3 decimals are identical.

The spelling of 2505605000 in words is "two billion, five hundred five million, six hundred five thousand".