2624640064 has 56 divisors (see below), whose sum is σ = 5523570360. Its totient is φ = 1233125376.

The previous prime is 2624640059. The next prime is 2624640077. The reversal of 2624640064 is 4600464262.

It can be written as a sum of positive squares in 4 ways, for example, as 1508545600 + 1116094464 = 38840^2 + 33408^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 835104 + ... + 838240.

It is an arithmetic number, because the mean of its divisors is an integer number (98635185).

Almost surely, 2^2624640064 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 2624640064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761785180).

2624640064 is an abundant number, since it is smaller than the sum of its proper divisors (2898930296).

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

2624640064 is a wasteful number, since it uses less digits than its factorization.

2624640064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 2624640064 is about 51231.2410936920. The cubic root of 2624640064 is about 1379.3990353954.

The spelling of 2624640064 in words is "two billion, six hundred twenty-four million, six hundred forty thousand, sixty-four".