2968162131 has 16 divisors (see below), whose sum is σ = 4357680768. Its totient is φ = 1782072000.

The previous prime is 2968162111. The next prime is 2968162181. The reversal of 2968162131 is 1312618692.

It is not a de Polignac number, because 2968162131 - 2¹⁵ = 2968129363 is a prime.

It is a super-3 number, since 3×2968162131³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2968162131.

It is not an unprimeable number, because it can be changed into a prime (2968162111) 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 15 ways as a sum of consecutive naturals, for example, 416770 + ... + 423831.

It is an arithmetic number, because the mean of its divisors is an integer number (272355048).

Almost surely, 2^2968162131 is an apocalyptic number.

2968162131 is a deficient number, since it is larger than the sum of its proper divisors (1389518637).

2968162131 is a wasteful number, since it uses less digits than its factorization.

2968162131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840722.

The product of its digits is 31104, while the sum is 39.

The square root of 2968162131 is about 54480.8418712486. The cubic root of 2968162131 is about 1437.1293975544.

The spelling of 2968162131 in words is "two billion, nine hundred sixty-eight million, one hundred sixty-two thousand, one hundred thirty-one".