2005030681038 has 224 divisors, whose sum is σ = 5627610139392. Its totient is φ = 520261056000.

The previous prime is 2005030680967. The next prime is 2005030681067. The reversal of 2005030681038 is 8301860305002.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2005030680993 and 2005030681011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 117983070 + ... + 118000062.

Almost surely, 2^{2005030681038} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005030681038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813805069696).

2005030681038 is an abundant number, since it is smaller than the sum of its proper divisors (3622579458354).

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

2005030681038 is a wasteful number, since it uses less digits than its factorization.

2005030681038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18082 (or 18067 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2005030681038 in words is "two trillion, five billion, thirty million, six hundred eighty-one thousand, thirty-eight".