2005920 has 144 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 456192.

The previous prime is 2005919. The next prime is 2005931. The reversal of 2005920 is 295002.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2005893 and 2005902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9981 + ... + 10179.

It is an arithmetic number, because the mean of its divisors is an integer number (54600).

2^2005920 is an apocalyptic number.

2005920 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 2005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2005920 is an abundant number, since it is smaller than the sum of its proper divisors (5856480).

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

2005920 is a wasteful number, since it uses less digits than its factorization.

2005920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2005920 is about 1416.3050518868. The cubic root of 2005920 is about 126.1162947463.

The spelling of 2005920 in words is "two million, five thousand, nine hundred twenty".