2033920 has 72 divisors (see below), whose sum is σ = 5592384. Its totient is φ = 694272.

The previous prime is 2033903. The next prime is 2033929. The reversal of 2033920 is 293302.

It is not an unprimeable number, because it can be changed into a prime (2033929) 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 7 ways as a sum of consecutive naturals, for example, 8847 + ... + 9073.

It is an arithmetic number, because the mean of its divisors is an integer number (77672).

2^2033920 is an apocalyptic number.

2033920 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 2033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796192).

2033920 is an abundant number, since it is smaller than the sum of its proper divisors (3558464).

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

2033920 is an equidigital number, since it uses as much as digits as its factorization.

2033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 2033920 is about 1426.1556717273. The cubic root of 2033920 is about 126.7003911433.

The spelling of 2033920 in words is "two million, thirty-three thousand, nine hundred twenty".