2668184064 has 600 divisors, whose sum is σ = 10075441068. Its totient is φ = 696729600.

The previous prime is 2668184059. The next prime is 2668184083. The reversal of 2668184064 is 4604818662.

It can be written as a sum of positive squares in 2 ways, for example, as 2642782464 + 25401600 = 51408^2 + 5040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26417614 + ... + 26417714.

Almost surely, 2^2668184064 is an apocalyptic number.

2668184064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668184064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037720534).

2668184064 is an abundant number, since it is smaller than the sum of its proper divisors (7407257004).

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

2668184064 is a wasteful number, since it uses less digits than its factorization.

2668184064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2668184064 is about 51654.4679964860. The cubic root of 2668184064 is about 1386.9855249648.

The spelling of 2668184064 in words is "two billion, six hundred sixty-eight million, one hundred eighty-four thousand, sixty-four".