2505173220 has 144 divisors (see below), whose sum is σ = 8313334848. Its totient is φ = 605594880.

The previous prime is 2505173219. The next prime is 2505173257. The reversal of 2505173220 is 223715052.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 784467 + ... + 787653.

It is an arithmetic number, because the mean of its divisors is an integer number (57731492).

Almost surely, 2^2505173220 is an apocalyptic number.

2505173220 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 2505173220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156667424).

2505173220 is an abundant number, since it is smaller than the sum of its proper divisors (5808161628).

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

2505173220 is a wasteful number, since it uses less digits than its factorization.

2505173220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3605 counting only the distinct ones).

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

The square root of 2505173220 is about 50051.7054654484. The cubic root of 2505173220 is about 1358.1443152829.

Adding to 2505173220 its reverse (223715052), we get a palindrome (2728888272).

The spelling of 2505173220 in words is "two billion, five hundred five million, one hundred seventy-three thousand, two hundred twenty".