2505061296 has 160 divisors (see below), whose sum is σ = 7621387200. Its totient is φ = 786401280.

The previous prime is 2505061243. The next prime is 2505061297. The reversal of 2505061296 is 6921605052.

2505061296 is a `hidden beast` number, since 2 + 50 + 506 + 12 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2505061296.

It is not an unprimeable number, because it can be changed into a prime (2505061297) 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 31 ways as a sum of consecutive naturals, for example, 511210 + ... + 516086.

It is an arithmetic number, because the mean of its divisors is an integer number (47633670).

Almost surely, 2^2505061296 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 2505061296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810693600).

2505061296 is an abundant number, since it is smaller than the sum of its proper divisors (5116325904).

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

2505061296 is a wasteful number, since it uses less digits than its factorization.

2505061296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2505061296 is about 50050.5873691808. The cubic root of 2505061296 is about 1358.1240889759.

The spelling of 2505061296 in words is "two billion, five hundred five million, sixty-one thousand, two hundred ninety-six".