2091936 has 96 divisors (see below), whose sum is σ = 6870528. Its totient is φ = 541440.

The previous prime is 2091931. The next prime is 2091953. The reversal of 2091936 is 6391902.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2091931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7251 + ... + 7533.

It is an arithmetic number, because the mean of its divisors is an integer number (71568).

2^2091936 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 2091936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435264).

2091936 is an abundant number, since it is smaller than the sum of its proper divisors (4778592).

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

2091936 is a wasteful number, since it uses less digits than its factorization.

2091936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 2091936 is about 1446.3526540924. The cubic root of 2091936 is about 127.8937921068.

It can be divided in two parts, 209 and 1936, that added together give a triangular number (2145 = T₆₅).

The spelling of 2091936 in words is "two million, ninety-one thousand, nine hundred thirty-six".