2968001667719 has 16 divisors (see below), whose sum is σ = 3254777470464. Its totient is φ = 2684053670400.

The previous prime is 2968001667679. The next prime is 2968001667769. The reversal of 2968001667719 is 9177661008692.

2968001667719 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2968001667719 - 2³⁶ = 2899282190983 is a prime.

It is a super-2 number, since 2×2968001667719² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968001667769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59680274 + ... + 59729984.

It is an arithmetic number, because the mean of its divisors is an integer number (203423591904).

Almost surely, 2^{2968001667719} is an apocalyptic number.

2968001667719 is a deficient number, since it is larger than the sum of its proper divisors (286775802745).

2968001667719 is a wasteful number, since it uses less digits than its factorization.

2968001667719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78038.

The product of its (nonzero) digits is 13716864, while the sum is 62.

The spelling of 2968001667719 in words is "two trillion, nine hundred sixty-eight billion, one million, six hundred sixty-seven thousand, seven hundred nineteen".