2813836480 has 168 divisors, whose sum is σ = 8293132512. Its totient is φ = 890413056.

The previous prime is 2813836477. The next prime is 2813836507. The reversal of 2813836480 is 846383182.

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, 374844 + ... + 382276.

It is an arithmetic number, because the mean of its divisors is an integer number (49363884).

Almost surely, 2^2813836480 is an apocalyptic number.

2813836480 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 2813836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146566256).

2813836480 is an abundant number, since it is smaller than the sum of its proper divisors (5479296032).

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

2813836480 is a wasteful number, since it uses less digits than its factorization.

2813836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7483 (or 7460 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 2813836480 is about 53045.6075467140. The cubic root of 2813836480 is about 1411.7775947298. Note that the first 3 decimals are identical.

The spelling of 2813836480 in words is "two billion, eight hundred thirteen million, eight hundred thirty-six thousand, four hundred eighty".