2505120300 has 108 divisors (see below), whose sum is σ = 7862172136. Its totient is φ = 667180800.

The previous prime is 2505120287. The next prime is 2505120329. The reversal of 2505120300 is 30215052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1052712 + ... + 1055088.

Almost surely, 2^2505120300 is an apocalyptic number.

2505120300 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 2505120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931086068).

2505120300 is an abundant number, since it is smaller than the sum of its proper divisors (5357051836).

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

2505120300 is a wasteful number, since it uses less digits than its factorization.

2505120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2505120300 is about 50051.1768093419. The cubic root of 2505120300 is about 1358.1347519385.

Adding to 2505120300 its reverse (30215052), we get a palindrome (2535335352).

The spelling of 2505120300 in words is "two billion, five hundred five million, one hundred twenty thousand, three hundred".