2001920 has 88 divisors (see below), whose sum is σ = 5305824. Its totient is φ = 720896.

The previous prime is 2001919. The next prime is 2001953. The reversal of 2001920 is 291002.

It is a junction number, because it is equal to n+sod(n) for n = 2001895 and 2001904.

It is an unprimeable number.

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, 87029 + ... + 87051.

2^2001920 is an apocalyptic number.

2001920 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 2001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652912).

2001920 is an abundant number, since it is smaller than the sum of its proper divisors (3303904).

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

2001920 is a wasteful number, since it uses less digits than its factorization.

2001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2001920 is about 1414.8922220438. The cubic root of 2001920 is about 126.0324095684.

Adding to 2001920 its reverse (291002), we get a palindrome (2292922).

The spelling of 2001920 in words is "two million, one thousand, nine hundred twenty".