2968460648692 has 192 divisors, whose sum is σ = 6931418780160. Its totient is φ = 1076815872000.

The previous prime is 2968460648669. The next prime is 2968460648693.

2968460648692 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968460648693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1094160328 + ... + 1094163040.

It is an arithmetic number, because the mean of its divisors is an integer number (36101139480).

Almost surely, 2^{2968460648692} is an apocalyptic number.

2968460648692 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 2968460648692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465709390080).

2968460648692 is an abundant number, since it is smaller than the sum of its proper divisors (3962958131468).

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

2968460648692 is a wasteful number, since it uses less digits than its factorization.

2968460648692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 70.

The spelling of 2968460648692 in words is "two trillion, nine hundred sixty-eight billion, four hundred sixty million, six hundred forty-eight thousand, six hundred ninety-two".