2530090000 has 75 divisors (see below), whose sum is σ = 6137803243. Its totient is φ = 1010024000.

The previous prime is 2530089983. The next prime is 2530090009. The reversal of 2530090000 is 900352.

The square root of 2530090000 is 50300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 198359056 + 2331730944 = 14084^2 + 48288^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2530090000.

It is not an unprimeable number, because it can be changed into a prime (2530090009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5029749 + ... + 5030251.

Almost surely, 2^2530090000 is an apocalyptic number.

2530090000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2530090000 is the 50300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2530090000

2530090000 is an abundant number, since it is smaller than the sum of its proper divisors (3607713243).

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

2530090000 is an frugal number, since it uses more digits than its factorization.

2530090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The cubic root of 2530090000 is about 1362.6322291218.

Adding to 2530090000 its reverse (900352), we get a palindrome (2530990352).

The spelling of 2530090000 in words is "two billion, five hundred thirty million, ninety thousand".