2505273120 has 576 divisors, whose sum is σ = 10466426880. Its totient is φ = 532998144.

The previous prime is 2505273107. The next prime is 2505273151. The reversal of 2505273120 is 213725052.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19726497 + ... + 19726623.

It is an arithmetic number, because the mean of its divisors is an integer number (18170880).

Almost surely, 2^2505273120 is an apocalyptic number.

2505273120 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 2505273120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5233213440).

2505273120 is an abundant number, since it is smaller than the sum of its proper divisors (7961153760).

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

2505273120 is a wasteful number, since it uses less digits than its factorization.

2505273120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2505273120 is about 50052.7034234915. The cubic root of 2505273120 is about 1358.1623681681.

Adding to 2505273120 its reverse (213725052), we get a palindrome (2718998172).

It can be divided in two parts, 2505 and 273120, that added together give a square (275625 = 525²).

The spelling of 2505273120 in words is "two billion, five hundred five million, two hundred seventy-three thousand, one hundred twenty".