2962007968205 has 32 divisors (see below), whose sum is σ = 4176630743040. Its totient is φ = 1988089966080.

The previous prime is 2962007968163. The next prime is 2962007968211. The reversal of 2962007968205 is 5028697002692.

It is not a de Polignac number, because 2962007968205 - 2¹⁶ = 2962007902669 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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 31 ways as a sum of consecutive naturals, for example, 3255449 + ... + 4064721.

It is an arithmetic number, because the mean of its divisors is an integer number (130519710720).

Almost surely, 2^{2962007968205} is an apocalyptic number.

It is an amenable number.

2962007968205 is a deficient number, since it is larger than the sum of its proper divisors (1214622774835).

2962007968205 is a wasteful number, since it uses less digits than its factorization.

2962007968205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814421.

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 2962007968205 in words is "two trillion, nine hundred sixty-two billion, seven million, nine hundred sixty-eight thousand, two hundred five".