2564524201664 has 56 divisors (see below), whose sum is σ = 5186830599648. Its totient is φ = 1257623377920.

The previous prime is 2564524201661. The next prime is 2564524201691. The reversal of 2564524201664 is 4661024254652.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2564524201661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9558629 + ... + 9823259.

Almost surely, 2^{2564524201664} 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 2564524201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593415299824).

2564524201664 is an abundant number, since it is smaller than the sum of its proper divisors (2622306397984).

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

2564524201664 is a wasteful number, since it uses less digits than its factorization.

2564524201664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267553 (or 267543 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 47.

The spelling of 2564524201664 in words is "two trillion, five hundred sixty-four billion, five hundred twenty-four million, two hundred one thousand, six hundred sixty-four".