2101920 has 96 divisors (see below), whose sum is σ = 6894720. Its totient is φ = 537600.

The previous prime is 2101909. The next prime is 2101961. The reversal of 2101920 is 291012.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2101920.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13845 + ... + 13995.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

2^2101920 is an apocalyptic number.

2101920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360).

2101920 is an abundant number, since it is smaller than the sum of its proper divisors (4792800).

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

2101920 is a wasteful number, since it uses less digits than its factorization.

2101920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2101920 is about 1449.7999862050. The cubic root of 2101920 is about 128.0969317853.

Adding to 2101920 its reverse (291012), we get a palindrome (2392932).

The spelling of 2101920 in words is "two million, one hundred one thousand, nine hundred twenty".