2005885440000 has 1560 divisors, whose sum is σ = 8052195903752. Its totient is φ = 477757440000.

The previous prime is 2005885439989. The next prime is 2005885440067. The reversal of 2005885440000 is 445885002.

2005885440000 is a `hidden beast` number, since 20 + 0 + 588 + 54 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 1927521275904 + 78364164096 = 1388352^2 + 279936^2 .

It is a tau number, because it is divible by the number of its divisors (1560).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11082239910 + ... + 11082240090.

Almost surely, 2^{2005885440000} is an apocalyptic number.

2005885440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005885440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026097951876).

2005885440000 is an abundant number, since it is smaller than the sum of its proper divisors (6046310463752).

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

2005885440000 is a wasteful number, since it uses less digits than its factorization.

2005885440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 2005885440000 in words is "two trillion, five billion, eight hundred eighty-five million, four hundred forty thousand".