2119200 has 72 divisors (see below), whose sum is σ = 6905808. Its totient is φ = 564480.

The previous prime is 2119199. The next prime is 2119211. The reversal of 2119200 is 29112.

It is a happy number.

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 2119200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1959 + ... + 2841.

It is an arithmetic number, because the mean of its divisors is an integer number (95914).

2^2119200 is an apocalyptic number.

2119200 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 2119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452904).

2119200 is an abundant number, since it is smaller than the sum of its proper divisors (4786608).

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

2119200 is a wasteful number, since it uses less digits than its factorization.

2119200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 893 counting only the distinct ones).

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

The square root of 2119200 is about 1455.7472308062. The cubic root of 2119200 is about 128.4470048495.

The spelling of 2119200 in words is "two million, one hundred nineteen thousand, two hundred".