2006172634752 has 1792 divisors, whose sum is σ = 7630458595200. Its totient is φ = 515978035200.

The previous prime is 2006172634747. The next prime is 2006172634759. The reversal of 2006172634752 is 2574362716002.

2006172634752 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 1 + 7 + 2 + 634 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2006172634698 and 2006172634707.

It is not an unprimeable number, because it can be changed into a prime (2006172634759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10394676768 + ... + 10394676960.

Almost surely, 2^{2006172634752} is an apocalyptic number.

2006172634752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006172634752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815229297600).

2006172634752 is an abundant number, since it is smaller than the sum of its proper divisors (5624285960448).

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

2006172634752 is a wasteful number, since it uses less digits than its factorization.

2006172634752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 2006172634752 in words is "two trillion, six billion, one hundred seventy-two million, six hundred thirty-four thousand, seven hundred fifty-two".