2005606656 has 135 divisors (see below), whose sum is σ = 5999647423. Its totient is φ = 666385920.

The previous prime is 2005606639. The next prime is 2005606661. The reversal of 2005606656 is 6566065002.

The square root of 2005606656 is 44784.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2005606656.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6448741 + ... + 6449051.

Almost surely, 2^2005606656 is an apocalyptic number.

2005606656 is the 44784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005606656

2005606656 is an abundant number, since it is smaller than the sum of its proper divisors (3994040767).

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

2005606656 is an frugal number, since it uses more digits than its factorization.

2005606656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The cubic root of 2005606656 is about 1261.0972754489.

Multiplying 2005606656 by its sum of digits (36), we get a square (72201839616 = 268704²).

2005606656 divided by its sum of digits (36) gives a square (55711296 = 7464²).

The spelling of 2005606656 in words is "two billion, five million, six hundred six thousand, six hundred fifty-six".