2586481664 has 88 divisors (see below), whose sum is σ = 5594500128. Its totient is φ = 1188126720.

The previous prime is 2586481657. The next prime is 2586481669. The reversal of 2586481664 is 4661846852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2586481669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4405979 + ... + 4406565.

Almost surely, 2^2586481664 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 2586481664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797250064).

2586481664 is an abundant number, since it is smaller than the sum of its proper divisors (3008018464).

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

2586481664 is a wasteful number, since it uses less digits than its factorization.

2586481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 933 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 50.

The square root of 2586481664 is about 50857.4641916012. The cubic root of 2586481664 is about 1372.6815654461.

The spelling of 2586481664 in words is "two billion, five hundred eighty-six million, four hundred eighty-one thousand, six hundred sixty-four".