2109968 has 20 divisors (see below), whose sum is σ = 4672320. Its totient is φ = 904224.

The previous prime is 2109959. The next prime is 2109973. The reversal of 2109968 is 8699012.

It is a super-2 number, since 2×2109968² = 8903929922048, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9308 + ... + 9531.

It is an arithmetic number, because the mean of its divisors is an integer number (233616).

2^2109968 is an apocalyptic number.

2109968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2109968 is an abundant number, since it is smaller than the sum of its proper divisors (2562352).

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

2109968 is a wasteful number, since it uses less digits than its factorization.

2109968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18854 (or 18848 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 2109968 is about 1452.5728897374. The cubic root of 2109968 is about 128.2602128390.

The spelling of 2109968 in words is "two million, one hundred nine thousand, nine hundred sixty-eight".