2813636 has 48 divisors (see below), whose sum is σ = 6241536. Its totient is φ = 1081344.

The previous prime is 2813633. The next prime is 2813641. The reversal of 2813636 is 6363182.

2813636 = T₂₅₃ + T₂₅₄ + ... + T₃₂₀.

2813636 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

2813636 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2813599 and 2813608.

It is not an unprimeable number, because it can be changed into a prime (2813633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10820 + ... + 11076.

It is an arithmetic number, because the mean of its divisors is an integer number (130032).

2^2813636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120768).

2813636 is an abundant number, since it is smaller than the sum of its proper divisors (3427900).

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

2813636 is a wasteful number, since it uses less digits than its factorization.

2813636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 306 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 2813636 is about 1677.3896386946. The cubic root of 2813636 is about 141.1744065194.

The spelling of 2813636 in words is "two million, eight hundred thirteen thousand, six hundred thirty-six".