2505050000 has 60 divisors (see below), whose sum is σ = 6066650772. Its totient is φ = 1002000000.

The previous prime is 2505049993. The next prime is 2505050137. The reversal of 2505050000 is 505052.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2379878656 + 125171344 = 48784^2 + 11188^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 24950 + ... + 75050.

Almost surely, 2^2505050000 is an apocalyptic number.

2505050000 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 2505050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033325386).

2505050000 is an abundant number, since it is smaller than the sum of its proper divisors (3561600772).

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

2505050000 is an frugal number, since it uses more digits than its factorization.

2505050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50134 (or 50108 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 17.

The square root of 2505050000 is about 50050.4745232251. The cubic root of 2505050000 is about 1358.1220475897.

Adding to 2505050000 its reverse (505052), we get a palindrome (2505555052).

The spelling of 2505050000 in words is "two billion, five hundred five million, fifty thousand".