2503838568 has 128 divisors (see below), whose sum is σ = 7838208000. Its totient is φ = 647512320.

The previous prime is 2503838551. The next prime is 2503838573. The reversal of 2503838568 is 8658383052.

2503838568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438838 + ... + 444506.

It is an arithmetic number, because the mean of its divisors is an integer number (61236000).

Almost surely, 2^2503838568 is an apocalyptic number.

2503838568 is a gapful number since it is divisible by the number (28) 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 2503838568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919104000).

2503838568 is an abundant number, since it is smaller than the sum of its proper divisors (5334369432).

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

2503838568 is a wasteful number, since it uses less digits than its factorization.

2503838568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935 (or 5931 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 2503838568 is about 50038.3709566968. The cubic root of 2503838568 is about 1357.9030848550.

The spelling of 2503838568 in words is "two billion, five hundred three million, eight hundred thirty-eight thousand, five hundred sixty-eight".