2809640064 has 256 divisors, whose sum is σ = 9376819200. Its totient is φ = 724131840.

The previous prime is 2809640059. The next prime is 2809640111. The reversal of 2809640064 is 4600469082.

2809640064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 4937572 + ... + 4938140.

It is an arithmetic number, because the mean of its divisors is an integer number (36628200).

Almost surely, 2^2809640064 is an apocalyptic number.

2809640064 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 2809640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688409600).

2809640064 is an abundant number, since it is smaller than the sum of its proper divisors (6567179136).

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

2809640064 is a wasteful number, since it uses less digits than its factorization.

2809640064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 2809640064 is about 53006.0379956850. The cubic root of 2809640064 is about 1411.0754272214.

The spelling of 2809640064 in words is "two billion, eight hundred nine million, six hundred forty thousand, sixty-four".