2005706656 has 48 divisors (see below), whose sum is σ = 4066965504. Its totient is φ = 972981504.

The previous prime is 2005706627. The next prime is 2005706669. The reversal of 2005706656 is 6566075002.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451261 + ... + 455683.

It is an arithmetic number, because the mean of its divisors is an integer number (84728448).

Almost surely, 2^2005706656 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 2005706656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033482752).

2005706656 is an abundant number, since it is smaller than the sum of its proper divisors (2061258848).

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

2005706656 is a wasteful number, since it uses less digits than its factorization.

2005706656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4853 (or 4845 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 2005706656 is about 44785.1164562514. The cubic root of 2005706656 is about 1261.1182346321.

The spelling of 2005706656 in words is "two billion, five million, seven hundred six thousand, six hundred fifty-six".