2506112224 has 96 divisors (see below), whose sum is σ = 6173266176. Its totient is φ = 972933120.

The previous prime is 2506112221. The next prime is 2506112237. The reversal of 2506112224 is 4222116052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506112221) 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 15 ways as a sum of consecutive naturals, for example, 754792 + ... + 758104.

It is an arithmetic number, because the mean of its divisors is an integer number (64304856).

Almost surely, 2^2506112224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086633088).

2506112224 is an abundant number, since it is smaller than the sum of its proper divisors (3667153952).

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

2506112224 is a wasteful number, since it uses less digits than its factorization.

2506112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2506112224 is about 50061.0849263178. The cubic root of 2506112224 is about 1358.3139833427.

Adding to 2506112224 its reverse (4222116052), we get a palindrome (6728228276).

The spelling of 2506112224 in words is "two billion, five hundred six million, one hundred twelve thousand, two hundred twenty-four".