2006638656 has 112 divisors (see below), whose sum is σ = 6132697920. Its totient is φ = 572293120.

The previous prime is 2006638643. The next prime is 2006638679. The reversal of 2006638656 is 6568366002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7960 + ... + 63848.

Almost surely, 2^2006638656 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 2006638656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066348960).

2006638656 is an abundant number, since it is smaller than the sum of its proper divisors (4126059264).

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

2006638656 is a wasteful number, since it uses less digits than its factorization.

2006638656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55932 (or 55922 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 2006638656 is about 44795.5204903347. The cubic root of 2006638656 is about 1261.3135407244.

The spelling of 2006638656 in words is "two billion, six million, six hundred thirty-eight thousand, six hundred fifty-six".