2006983961730 has 192 divisors, whose sum is σ = 5715077337216. Its totient is φ = 484617600000.

The previous prime is 2006983961711. The next prime is 2006983961743. The reversal of 2006983961730 is 371693896002.

2006983961730 is a `hidden beast` number, since 20 + 0 + 69 + 8 + 396 + 173 + 0 = 666.

It is a super-2 number, since 2×2006983961730² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 668770230 + ... + 668773230.

It is an arithmetic number, because the mean of its divisors is an integer number (29766027798).

Almost surely, 2^{2006983961730} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006983961730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857538668608).

2006983961730 is an abundant number, since it is smaller than the sum of its proper divisors (3708093375486).

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

2006983961730 is a wasteful number, since it uses less digits than its factorization.

2006983961730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5473 (or 5470 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 2006983961730 in words is "two trillion, six billion, nine hundred eighty-three million, nine hundred sixty-one thousand, seven hundred thirty".