2668067430084 has 81 divisors (see below), whose sum is σ = 7845590485551. Its totient is φ = 762285378960.

The previous prime is 2668067430053. The next prime is 2668067430097. The reversal of 2668067430084 is 4800347608662.

The square root of 2668067430084 is 1633422.

It is a perfect power (a square), and thus also a powerful number.

2668067430084 is a `hidden beast` number, since 266 + 8 + 0 + 6 + 74 + 300 + 8 + 4 = 666.

2668067430084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2668067430084² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2668067430084.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68584279 + ... + 68623169.

Almost surely, 2^{2668067430084} is an apocalyptic number.

2668067430084 is the 1633422-nd square number.

It is an amenable number.

2668067430084 is an abundant number, since it is smaller than the sum of its proper divisors (5177523055467).

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

2668067430084 is an frugal number, since it uses more digits than its factorization.

2668067430084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77806 (or 38903 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 2668067430084 in words is "two trillion, six hundred sixty-eight billion, sixty-seven million, four hundred thirty thousand, eighty-four".