2506323568 has 40 divisors (see below), whose sum is σ = 5553930240. Its totient is φ = 1073323200.

The previous prime is 2506323559. The next prime is 2506323569. The reversal of 2506323568 is 8653236052.

2506323568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2506323568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506323569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153393 + ... + 168943.

It is an arithmetic number, because the mean of its divisors is an integer number (138848256).

Almost surely, 2^2506323568 is an apocalyptic number.

2506323568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2506323568 is an abundant number, since it is smaller than the sum of its proper divisors (3047606672).

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

2506323568 is a wasteful number, since it uses less digits than its factorization.

2506323568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17005 (or 16999 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 2506323568 is about 50063.1957429807. The cubic root of 2506323568 is about 1358.3521651180.

The spelling of 2506323568 in words is "two billion, five hundred six million, three hundred twenty-three thousand, five hundred sixty-eight".