2805936 has 60 divisors (see below), whose sum is σ = 8439192. Its totient is φ = 801024.

The previous prime is 2805923. The next prime is 2805949. The reversal of 2805936 is 6395082.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2805923) and next prime (2805949).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2805897 and 2805906.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1756 + ... + 2948.

2^2805936 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 2805936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219596).

2805936 is an abundant number, since it is smaller than the sum of its proper divisors (5633256).

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

2805936 is a wasteful number, since it uses less digits than its factorization.

2805936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2805936 is about 1675.0928332484. The cubic root of 2805936 is about 141.0455061609.

It can be divided in two parts, 2805 and 936, that added together give a triangular number (3741 = T₈₆).

The spelling of 2805936 in words is "two million, eight hundred five thousand, nine hundred thirty-six".