2613664064 has 224 divisors, whose sum is σ = 6292242432. Its totient is φ = 1064448000.

The previous prime is 2613664057. The next prime is 2613664091. The reversal of 2613664064 is 4604663162.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20579969 + ... + 20580095.

It is an arithmetic number, because the mean of its divisors is an integer number (28090368).

Almost surely, 2^2613664064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2613664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146121216).

2613664064 is an abundant number, since it is smaller than the sum of its proper divisors (3678578368).

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

2613664064 is a wasteful number, since it uses less digits than its factorization.

2613664064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The square root of 2613664064 is about 51124.0067287375. The cubic root of 2613664064 is about 1377.4735093934.

The spelling of 2613664064 in words is "two billion, six hundred thirteen million, six hundred sixty-four thousand, sixty-four".