2005616520 has 96 divisors (see below), whose sum is σ = 6610144320. Its totient is φ = 527291520.

The previous prime is 2005616479. The next prime is 2005616533. The reversal of 2005616520 is 256165002.

2005616520 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 6 + 1 + 652 + 0 = 666.

2005616520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13674 + ... + 64793.

It is an arithmetic number, because the mean of its divisors is an integer number (68855670).

Almost surely, 2^2005616520 is an apocalyptic number.

2005616520 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 2005616520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305072160).

2005616520 is an abundant number, since it is smaller than the sum of its proper divisors (4604527800).

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

2005616520 is a wasteful number, since it uses less digits than its factorization.

2005616520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78555 (or 78548 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2005616520 is about 44784.1101284820. The cubic root of 2005616520 is about 1261.0993428937.

The spelling of 2005616520 in words is "two billion, five million, six hundred sixteen thousand, five hundred twenty".