2972829642606 has 256 divisors, whose sum is σ = 7472536934400. Its totient is φ = 882033546240.

The previous prime is 2972829642571. The next prime is 2972829642611. The reversal of 2972829642606 is 6062469282792.

2972829642606 is a `hidden beast` number, since 2 + 9 + 7 + 282 + 96 + 4 + 260 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152201061 + ... + 152220591.

It is an arithmetic number, because the mean of its divisors is an integer number (29189597400).

Almost surely, 2^{2972829642606} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2972829642606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736268467200).

2972829642606 is an abundant number, since it is smaller than the sum of its proper divisors (4499707291794).

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

2972829642606 is a wasteful number, since it uses less digits than its factorization.

2972829642606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19683 (or 19665 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 2972829642606 in words is "two trillion, nine hundred seventy-two billion, eight hundred twenty-nine million, six hundred forty-two thousand, six hundred six".