2811936 has 48 divisors (see below), whose sum is σ = 7820064. Its totient is φ = 881664.

The previous prime is 2811931. The next prime is 2811947. The reversal of 2811936 is 6391182.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2811931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 771 + ... + 2493.

It is an arithmetic number, because the mean of its divisors is an integer number (162918).

2^2811936 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 2811936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910032).

2811936 is an abundant number, since it is smaller than the sum of its proper divisors (5008128).

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

2811936 is a wasteful number, since it uses less digits than its factorization.

2811936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1745 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 2811936 is about 1676.8828223821. The cubic root of 2811936 is about 141.1459682468.

The spelling of 2811936 in words is "two million, eight hundred eleven thousand, nine hundred thirty-six".