2668318028464 has 160 divisors (see below), whose sum is σ = 5895227681280. Its totient is φ = 1159150694400.

The previous prime is 2668318028447. The next prime is 2668318028513. The reversal of 2668318028464 is 4648208138662.

It is a super-2 number, since 2×2668318028464² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2668318028399 and 2668318028408.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 703482952 + ... + 703486744.

It is an arithmetic number, because the mean of its divisors is an integer number (36845173008).

Almost surely, 2^{2668318028464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668318028464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947613840640).

2668318028464 is an abundant number, since it is smaller than the sum of its proper divisors (3226909652816).

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

2668318028464 is a wasteful number, since it uses less digits than its factorization.

2668318028464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5739 (or 5733 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 58.

The spelling of 2668318028464 in words is "two trillion, six hundred sixty-eight billion, three hundred eighteen million, twenty-eight thousand, four hundred sixty-four".