2564666532 has 72 divisors (see below), whose sum is σ = 6557405400. Its totient is φ = 845107200.

The previous prime is 2564666519. The next prime is 2564666567. The reversal of 2564666532 is 2356664652.

2564666532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 571401216 + 1993265316 = 23904^2 + 44646^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2444344 + ... + 2445392.

It is an arithmetic number, because the mean of its divisors is an integer number (91075075).

Almost surely, 2^2564666532 is an apocalyptic number.

It is an amenable number.

2564666532 is an abundant number, since it is smaller than the sum of its proper divisors (3992738868).

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

2564666532 is a wasteful number, since it uses less digits than its factorization.

2564666532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1768 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 2564666532 is about 50642.5367848018. The cubic root of 2564666532 is about 1368.8114671089.

The spelling of 2564666532 in words is "two billion, five hundred sixty-four million, six hundred sixty-six thousand, five hundred thirty-two".