2111904 has 36 divisors (see below), whose sum is σ = 6006546. Its totient is φ = 703872.

The previous prime is 2111897. The next prime is 2111909. The reversal of 2111904 is 4091112.

It can be written as a sum of positive squares in only one way, i.e., 2108304 + 3600 = 1452^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2111909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3379 + ... + 3954.

2^2111904 is an apocalyptic number.

2111904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2111904 is an abundant number, since it is smaller than the sum of its proper divisors (3894642).

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

2111904 is a wasteful number, since it uses less digits than its factorization.

2111904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7349 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 2111904 is about 1453.2391406785. The cubic root of 2111904 is about 128.2994292102.

The spelling of 2111904 in words is "two million, one hundred eleven thousand, nine hundred four".