2241579967 has 16 divisors (see below), whose sum is σ = 2579904000. Its totient is φ = 1926167040.

The previous prime is 2241579937. The next prime is 2241579971. The reversal of 2241579967 is 7699751422.

It is a cyclic number.

It is not a de Polignac number, because 2241579967 - 2¹⁹ = 2241055679 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241579937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81898 + ... + 105784.

It is an arithmetic number, because the mean of its divisors is an integer number (161244000).

Almost surely, 2^2241579967 is an apocalyptic number.

2241579967 is a deficient number, since it is larger than the sum of its proper divisors (338324033).

2241579967 is a wasteful number, since it uses less digits than its factorization.

2241579967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24366.

The product of its digits is 1905120, while the sum is 52.

The square root of 2241579967 is about 47345.3267704427. The cubic root of 2241579967 is about 1308.7340813486.

The spelling of 2241579967 in words is "two billion, two hundred forty-one million, five hundred seventy-nine thousand, nine hundred sixty-seven".