2541167667 has 32 divisors (see below), whose sum is σ = 4003421760. Its totient is φ = 1587548160.

The previous prime is 2541167663. The next prime is 2541167669. The reversal of 2541167667 is 7667611452.

It is not a de Polignac number, because 2541167667 - 2² = 2541167663 is a prime.

It is a super-2 number, since 2×2541167667² = 12915066223612445778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2541167663) 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 31 ways as a sum of consecutive naturals, for example, 95067 + ... + 118827.

It is an arithmetic number, because the mean of its divisors is an integer number (125106930).

Almost surely, 2^2541167667 is an apocalyptic number.

2541167667 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2541167667 is a deficient number, since it is larger than the sum of its proper divisors (1462254093).

2541167667 is a wasteful number, since it uses less digits than its factorization.

2541167667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24020 (or 24014 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 2541167667 is about 50409.9957052170. The cubic root of 2541167667 is about 1364.6180358624.

The spelling of 2541167667 in words is "two billion, five hundred forty-one million, one hundred sixty-seven thousand, six hundred sixty-seven".