2567667652 has 48 divisors (see below), whose sum is σ = 5165887104. Its totient is φ = 1105280000.

The previous prime is 2567667649. The next prime is 2567667653.

2567667652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2567667652² = 13185834342254386208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2567667652.

It is not an unprimeable number, because it can be changed into a prime (2567667653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89652 + ... + 114772.

It is an arithmetic number, because the mean of its divisors is an integer number (107622648).

Almost surely, 2^2567667652 is an apocalyptic number.

2567667652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2567667652 is an abundant number, since it is smaller than the sum of its proper divisors (2598219452).

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

2567667652 is a wasteful number, since it uses less digits than its factorization.

2567667652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25260 (or 25258 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 52.

The square root of 2567667652 is about 50672.1585488521. The cubic root of 2567667652 is about 1369.3451773212.

The spelling of 2567667652 in words is "two billion, five hundred sixty-seven million, six hundred sixty-seven thousand, six hundred fifty-two".