2505946112 has 44 divisors (see below), whose sum is σ = 5061289380. Its totient is φ = 1240006656.

The previous prime is 2505946111. The next prime is 2505946133. The reversal of 2505946112 is 2116495052.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 550183936 + 1955762176 = 23456^2 + 44224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505946111) 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 3 ways as a sum of consecutive naturals, for example, 86714 + ... + 111942.

Almost surely, 2^2505946112 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 2505946112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530644690).

2505946112 is an abundant number, since it is smaller than the sum of its proper divisors (2555343268).

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

2505946112 is an equidigital number, since it uses as much as digits as its factorization.

2505946112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25346 (or 25328 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 2505946112 is about 50059.4258057361. The cubic root of 2505946112 is about 1358.2839717527.

The spelling of 2505946112 in words is "two billion, five hundred five million, nine hundred forty-six thousand, one hundred twelve".