2505838500 has 576 divisors, whose sum is σ = 9419784192. Its totient is φ = 554400000.

The previous prime is 2505838493. The next prime is 2505838513. The reversal of 2505838500 is 58385052.

2505838500 is a `hidden beast` number, since 25 + 0 + 583 + 8 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35293465 + ... + 35293535.

It is an arithmetic number, because the mean of its divisors is an integer number (16353792).

Almost surely, 2^2505838500 is an apocalyptic number.

2505838500 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 2505838500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709892096).

2505838500 is an abundant number, since it is smaller than the sum of its proper divisors (6913945692).

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

2505838500 is a wasteful number, since it uses less digits than its factorization.

2505838500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2505838500 is about 50058.3509516644. The cubic root of 2505838500 is about 1358.2645286973.

The spelling of 2505838500 in words is "two billion, five hundred five million, eight hundred thirty-eight thousand, five hundred".