2193920 has 40 divisors (see below), whose sum is σ = 5266404. Its totient is φ = 876544.

The previous prime is 2193889. The next prime is 2193929. The reversal of 2193920 is 293912.

It can be written as a sum of positive squares in 2 ways, for example, as 2119936 + 73984 = 1456^2 + 272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2193920.

It is not an unprimeable number, because it can be changed into a prime (2193929) 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 3 ways as a sum of consecutive naturals, for example, 2132 + ... + 2988.

2^2193920 is an apocalyptic number.

2193920 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 2193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633202).

2193920 is an abundant number, since it is smaller than the sum of its proper divisors (3072484).

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

2193920 is an frugal number, since it uses more digits than its factorization.

2193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 2193920 is about 1481.1887118122. The cubic root of 2193920 is about 129.9392220825.

It can be divided in two parts, 2193 and 920, that added together give a palindrome (3113).

The spelling of 2193920 in words is "two million, one hundred ninety-three thousand, nine hundred twenty".