2668942498662 has 96 divisors (see below), whose sum is σ = 6371058530304. Its totient is φ = 807433648560.

The previous prime is 2668942498633. The next prime is 2668942498697.

It is a happy number.

2668942498662 is a `hidden beast` number, since 2 + 6 + 68 + 9 + 424 + 9 + 86 + 62 = 666.

2668942498662 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2668942498662³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14450743 + ... + 14634269.

It is an arithmetic number, because the mean of its divisors is an integer number (66365193024).

Almost surely, 2^{2668942498662} is an apocalyptic number.

2668942498662 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668942498662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185529265152).

2668942498662 is an abundant number, since it is smaller than the sum of its proper divisors (3702116031642).

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

2668942498662 is a wasteful number, since it uses less digits than its factorization.

2668942498662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184175 (or 184150 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 72.

The spelling of 2668942498662 in words is "two trillion, six hundred sixty-eight billion, nine hundred forty-two million, four hundred ninety-eight thousand, six hundred sixty-two".