2668341852036 has 729 divisors, whose sum is σ = 8754938238501. Its totient is φ = 683093005056.

The previous prime is 2668341852031. The next prime is 2668341852047. The reversal of 2668341852036 is 6302581438662.

The square root of 2668341852036 is 1633506.

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

2668341852036 is a `hidden beast` number, since 2 + 6 + 6 + 83 + 4 + 1 + 8 + 520 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 512378229636 + 2155963622400 = 715806^2 + 1468320^2 .

It is not an unprimeable number, because it can be changed into a prime (2668341852031) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 29981369080 + ... + 29981369168.

Almost surely, 2^{2668341852036} is an apocalyptic number.

2668341852036 is the 1633506-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668341852036

2668341852036 is an abundant number, since it is smaller than the sum of its proper divisors (6086596386465).

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

2668341852036 is a wasteful number, since it uses less digits than its factorization.

2668341852036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 2668341852036 in words is "two trillion, six hundred sixty-eight billion, three hundred forty-one million, eight hundred fifty-two thousand, thirty-six".