2683838304 has 72 divisors (see below), whose sum is σ = 8722481040. Its totient is φ = 766810368.

The previous prime is 2683838303. The next prime is 2683838347. The reversal of 2683838304 is 4038383862.

2683838304 is a `hidden beast` number, since 268 + 3 + 8 + 383 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2683838304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2683838303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 663619 + ... + 667650.

It is an arithmetic number, because the mean of its divisors is an integer number (121145570).

Almost surely, 2^2683838304 is an apocalyptic number.

2683838304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2683838304 is an abundant number, since it is smaller than the sum of its proper divisors (6038642736).

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

2683838304 is a wasteful number, since it uses less digits than its factorization.

2683838304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331292 (or 1331281 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 2683838304 is about 51805.7748132387. The cubic root of 2683838304 is about 1389.6927195439.

The spelling of 2683838304 in words is "two billion, six hundred eighty-three million, eight hundred thirty-eight thousand, three hundred four".