2684313600 has 336 divisors, whose sum is σ = 9434248848. Its totient is φ = 671088640.

The previous prime is 2684313589. The next prime is 2684313613. The reversal of 2684313600 is 63134862.

2684313600 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, 10444672 + ... + 10444928.

Almost surely, 2^2684313600 is an apocalyptic number.

2684313600 is a gapful number since it is divisible by the number (20) 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 2684313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717124424).

2684313600 is an abundant number, since it is smaller than the sum of its proper divisors (6749935248).

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

2684313600 is a wasteful number, since it uses less digits than its factorization.

2684313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2684313600 is about 51810.3618979833. The cubic root of 2684313600 is about 1389.7747508648.

The spelling of 2684313600 in words is "two billion, six hundred eighty-four million, three hundred thirteen thousand, six hundred".