2641000064 has 48 divisors (see below), whose sum is σ = 5337818610. Its totient is φ = 1301583360.

The previous prime is 2641000039. The next prime is 2641000069. The reversal of 2641000064 is 4600001462.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2330958400 + 310041664 = 48280^2 + 17608^2 .

It is not an unprimeable number, because it can be changed into a prime (2641000069) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 643202 + ... + 647294.

Almost surely, 2^2641000064 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 2641000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668909305).

2641000064 is an abundant number, since it is smaller than the sum of its proper divisors (2696818546).

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

2641000064 is an frugal number, since it uses more digits than its factorization.

2641000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2641000064 is about 51390.6612527996. The cubic root of 2641000064 is about 1382.2591407760.

The spelling of 2641000064 in words is "two billion, six hundred forty-one million, sixty-four", and thus it is an aban number.