2005120656 has 400 divisors, whose sum is σ = 7363243008. Its totient is φ = 511660800.

The previous prime is 2005120651. The next prime is 2005120661. The reversal of 2005120656 is 6560215002.

2005120656 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 1 + 2 + 0 + 656 = 666.

2005120656 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2005120651) and next prime (2005120661).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2005120651) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7085091 + ... + 7085373.

Almost surely, 2^2005120656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005120656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681621504).

2005120656 is an abundant number, since it is smaller than the sum of its proper divisors (5358122352).

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

2005120656 is a wasteful number, since it uses less digits than its factorization.

2005120656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 377 counting only the distinct ones).

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

The square root of 2005120656 is about 44778.5736262333. The cubic root of 2005120656 is about 1260.9954038970.

Adding to 2005120656 its reverse (6560215002), we get a palindrome (8565335658).

The spelling of 2005120656 in words is "two billion, five million, one hundred twenty thousand, six hundred fifty-six".