2005520 has 80 divisors (see below), whose sum is σ = 5303232. Its totient is φ = 698880.

The previous prime is 2005519. The next prime is 2005547. The reversal of 2005520 is 255002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2005520² = 8044220940800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2005495 and 2005504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37814 + ... + 37866.

2^2005520 is an apocalyptic number.

2005520 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 2005520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651616).

2005520 is an abundant number, since it is smaller than the sum of its proper divisors (3297712).

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

2005520 is a wasteful number, since it uses less digits than its factorization.

2005520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 2005520 is about 1416.1638323301. The cubic root of 2005520 is about 126.1079112496.

The spelling of 2005520 in words is "two million, five thousand, five hundred twenty".