2503814768 has 120 divisors (see below), whose sum is σ = 6045148800. Its totient is φ = 983653632.

The previous prime is 2503814749. The next prime is 2503814783. The reversal of 2503814768 is 8674183052.

2503814768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3387743 + ... + 3388481.

It is an arithmetic number, because the mean of its divisors is an integer number (50376240).

Almost surely, 2^2503814768 is an apocalyptic number.

2503814768 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 2503814768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022574400).

2503814768 is an abundant number, since it is smaller than the sum of its proper divisors (3541334032).

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

2503814768 is a wasteful number, since it uses less digits than its factorization.

2503814768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 2503814768 is about 50038.1331386374. The cubic root of 2503814768 is about 1357.8987823684.

The spelling of 2503814768 in words is "two billion, five hundred three million, eight hundred fourteen thousand, seven hundred sixty-eight".