2005617009312 has 384 divisors, whose sum is σ = 7251313466880. Its totient is φ = 526170193920.

The previous prime is 2005617009307. The next prime is 2005617009391. The reversal of 2005617009312 is 2139007165002.

2005617009312 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 617 + 0 + 0 + 9 + 31 + 2 = 666.

It is a super-2 number, since 2×2005617009312² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3977568 + ... + 4453344.

It is an arithmetic number, because the mean of its divisors is an integer number (18883628820).

Almost surely, 2^{2005617009312} 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 2005617009312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625656733440).

2005617009312 is an abundant number, since it is smaller than the sum of its proper divisors (5245696457568).

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

2005617009312 is a wasteful number, since it uses less digits than its factorization.

2005617009312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475861 (or 475847 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 2005617009312 in words is "two trillion, five billion, six hundred seventeen million, nine thousand, three hundred twelve".