2005441856256 has 144 divisors (see below), whose sum is σ = 5376663788384. Its totient is φ = 663571464192.

The previous prime is 2005441856227. The next prime is 2005441856267. The reversal of 2005441856256 is 6526581445002.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 131781960 + ... + 131797176.

Almost surely, 2^{2005441856256} 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 2005441856256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688331894192).

2005441856256 is an abundant number, since it is smaller than the sum of its proper divisors (3371221932128).

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

2005441856256 is a wasteful number, since it uses less digits than its factorization.

2005441856256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16486 (or 16472 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 2005441856256 in words is "two trillion, five billion, four hundred forty-one million, eight hundred fifty-six thousand, two hundred fifty-six".