2009920 has 56 divisors (see below), whose sum is σ = 5230368. Its totient is φ = 729600.

The previous prime is 2009911. The next prime is 2009921. The reversal of 2009920 is 299002.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2009891 and 2009900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3235 + ... + 3805.

2^2009920 is an apocalyptic number.

2009920 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 2009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615184).

2009920 is an abundant number, since it is smaller than the sum of its proper divisors (3220448).

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

2009920 is a wasteful number, since it uses less digits than its factorization.

2009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 2009920 is about 1417.7164737704. The cubic root of 2009920 is about 126.2000684815.

The spelling of 2009920 in words is "two million, nine thousand, nine hundred twenty".