2567668816 has 60 divisors (see below), whose sum is σ = 5431878900. Its totient is φ = 1174247424.

The previous prime is 2567668813. The next prime is 2567668867. The reversal of 2567668816 is 6188667652.

It can be written as a sum of positive squares in 2 ways, for example, as 723825216 + 1843843600 = 26904^2 + 42940^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567668813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159840 + ... + 175168.

It is an arithmetic number, because the mean of its divisors is an integer number (90531315).

Almost surely, 2^2567668816 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 2567668816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715939450).

2567668816 is an abundant number, since it is smaller than the sum of its proper divisors (2864210084).

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

2567668816 is a wasteful number, since it uses less digits than its factorization.

2567668816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15404 (or 15379 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 55.

The square root of 2567668816 is about 50672.1700344479. The cubic root of 2567668816 is about 1369.3453842428.

The spelling of 2567668816 in words is "two billion, five hundred sixty-seven million, six hundred sixty-eight thousand, eight hundred sixteen".