2668185037764 has 81 divisors (see below), whose sum is σ = 6858495028749. Its totient is φ = 874618751520.

The previous prime is 2668185037753. The next prime is 2668185037801. The reversal of 2668185037764 is 4677305818662.

The square root of 2668185037764 is 1633458.

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

2668185037764 is a `hidden beast` number, since 2 + 6 + 68 + 1 + 8 + 503 + 7 + 7 + 64 = 666.

2668185037764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 86764415364 + 2581420622400 = 294558^2 + 1606680^2 .

It is a super-2 number, since 2×2668185037764² (a number of 26 digits) contains 22 as substring.

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, 597843397 + ... + 597847859.

Almost surely, 2^{2668185037764} is an apocalyptic number.

2668185037764 is the 1633458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668185037764

2668185037764 is an abundant number, since it is smaller than the sum of its proper divisors (4190309990985).

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

2668185037764 is an frugal number, since it uses more digits than its factorization.

2668185037764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9058 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 2668185037764 in words is "two trillion, six hundred sixty-eight billion, one hundred eighty-five million, thirty-seven thousand, seven hundred sixty-four".