2005615560 has 128 divisors (see below), whose sum is σ = 6495914880. Its totient is φ = 492453888.

The previous prime is 2005615517. The next prime is 2005615561. The reversal of 2005615560 is 655165002.

It is a super-2 number, since 2×2005615560² = 8044987549028227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2005615561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727144 + ... + 729896.

It is an arithmetic number, because the mean of its divisors is an integer number (50749335).

Almost surely, 2^2005615560 is an apocalyptic number.

2005615560 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 2005615560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247957440).

2005615560 is an abundant number, since it is smaller than the sum of its proper divisors (4490299320).

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

2005615560 is a wasteful number, since it uses less digits than its factorization.

2005615560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 2005615560 is about 44784.0994103934. The cubic root of 2005615560 is about 1261.0991416829.

The spelling of 2005615560 in words is "two billion, five million, six hundred fifteen thousand, five hundred sixty".