2005506243136 has 56 divisors (see below), whose sum is σ = 4360423933440. Its totient is φ = 907612915200.

The previous prime is 2005506243121. The next prime is 2005506243137. The reversal of 2005506243136 is 6313426055002.

It is a super-3 number, since 3×2005506243136³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2005506243095 and 2005506243104.

It is not an unprimeable number, because it can be changed into a prime (2005506243137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6058720 + ... + 6381151.

Almost surely, 2^{2005506243136} is an apocalyptic number.

It is an amenable number.

2005506243136 is an abundant number, since it is smaller than the sum of its proper divisors (2354917690304).

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

2005506243136 is a wasteful number, since it uses less digits than its factorization.

2005506243136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12440123 (or 12440113 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 2005506243136 in words is "two trillion, five billion, five hundred six million, two hundred forty-three thousand, one hundred thirty-six".