2005995433248 has 144 divisors (see below), whose sum is σ = 5726943363960. Its totient is φ = 666044080128.

The previous prime is 2005995433231. The next prime is 2005995433279. The reversal of 2005995433248 is 8423345995002.

2005995433248 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 99 + 543 + 3 + 2 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 252458012304 + 1753537420944 = 502452^2 + 1324212^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2005995433194 and 2005995433203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107625786 + ... + 107644422.

Almost surely, 2^{2005995433248} 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 2005995433248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863471681980).

2005995433248 is an abundant number, since it is smaller than the sum of its proper divisors (3720947930712).

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

2005995433248 is a wasteful number, since it uses less digits than its factorization.

2005995433248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20099 (or 20088 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 2005995433248 in words is "two trillion, five billion, nine hundred ninety-five million, four hundred thirty-three thousand, two hundred forty-eight".