2643604064 has 48 divisors (see below), whose sum is σ = 5490938880. Its totient is φ = 1249395840.

The previous prime is 2643604063. The next prime is 2643604079. The reversal of 2643604064 is 4604063462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2643604063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276809 + ... + 286199.

It is an arithmetic number, because the mean of its divisors is an integer number (114394560).

Almost surely, 2^2643604064 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 2643604064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745469440).

2643604064 is an abundant number, since it is smaller than the sum of its proper divisors (2847334816).

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

2643604064 is a wasteful number, since it uses less digits than its factorization.

2643604064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9883 (or 9875 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The square root of 2643604064 is about 51415.9903531965. The cubic root of 2643604064 is about 1382.7132895039.

The spelling of 2643604064 in words is "two billion, six hundred forty-three million, six hundred four thousand, sixty-four".