2005415387136 has 1120 divisors, whose sum is σ = 7347673270080. Its totient is φ = 532030685184.

The previous prime is 2005415387089. The next prime is 2005415387137. The reversal of 2005415387136 is 6317835145002.

It is a happy number.

2005415387136 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 41 + 538 + 71 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2005415387091 and 2005415387100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005415387137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8606932876 + ... + 8606933108.

Almost surely, 2^{2005415387136} 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 2005415387136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673836635040).

2005415387136 is an abundant number, since it is smaller than the sum of its proper divisors (5342257882944).

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

2005415387136 is a wasteful number, since it uses less digits than its factorization.

2005415387136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2005415387136 in words is "two trillion, five billion, four hundred fifteen million, three hundred eighty-seven thousand, one hundred thirty-six".