2109888 has 140 divisors (see below), whose sum is σ = 7007352. Its totient is φ = 622080.

The previous prime is 2109871. The next prime is 2109889. The reversal of 2109888 is 8889012.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2109889) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57006 + ... + 57042.

2^2109888 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 2109888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503676).

2109888 is an abundant number, since it is smaller than the sum of its proper divisors (4897464).

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

2109888 is a wasteful number, since it uses less digits than its factorization.

2109888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 2109888 is about 1452.5453521319. The cubic root of 2109888 is about 128.2585918118.

The spelling of 2109888 in words is "two million, one hundred nine thousand, eight hundred eighty-eight".