2567641381 has 8 divisors (see below), whose sum is σ = 2642774904. Its totient is φ = 2492809920.

The previous prime is 2567641357. The next prime is 2567641403. The reversal of 2567641381 is 1831467652.

It can be written as a sum of positive squares in 4 ways, for example, as 1220384356 + 1347257025 = 34934^2 + 36705^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2567641381 - 2⁹ = 2567640869 is a prime.

It is a super-2 number, since 2×2567641381² = 13185564522847174322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567641481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58210 + ... + 92323.

It is an arithmetic number, because the mean of its divisors is an integer number (330346863).

Almost surely, 2^2567641381 is an apocalyptic number.

It is an amenable number.

2567641381 is a deficient number, since it is larger than the sum of its proper divisors (75133523).

2567641381 is a wasteful number, since it uses less digits than its factorization.

2567641381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151031.

The product of its digits is 241920, while the sum is 43.

The square root of 2567641381 is about 50671.8993229976. The cubic root of 2567641381 is about 1369.3405071699.

The spelling of 2567641381 in words is "two billion, five hundred sixty-seven million, six hundred forty-one thousand, three hundred eighty-one".