2803635968 has 72 divisors (see below), whose sum is σ = 6673970688. Its totient is φ = 1149299712.

The previous prime is 2803635949. The next prime is 2803635973. The reversal of 2803635968 is 8695363082.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7205 + ... + 75227.

Almost surely, 2^2803635968 is an apocalyptic number.

2803635968 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 2803635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336985344).

2803635968 is an abundant number, since it is smaller than the sum of its proper divisors (3870334720).

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

2803635968 is an equidigital number, since it uses as much as digits as its factorization.

2803635968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68069 (or 68055 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 50.

The square root of 2803635968 is about 52949.3717432039. The cubic root of 2803635968 is about 1410.0695718736.

The spelling of 2803635968 in words is "two billion, eight hundred three million, six hundred thirty-five thousand, nine hundred sixty-eight".