2442164307 has 16 divisors (see below), whose sum is σ = 3554112000. Its totient is φ = 1479319200.

The previous prime is 2442164279. The next prime is 2442164323. The reversal of 2442164307 is 7034612442.

It is not a de Polignac number, because 2442164307 - 2¹¹ = 2442162259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2442164377) 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 15 ways as a sum of consecutive naturals, for example, 47457 + ... + 84477.

It is an arithmetic number, because the mean of its divisors is an integer number (222132000).

Almost surely, 2^2442164307 is an apocalyptic number.

2442164307 is a deficient number, since it is larger than the sum of its proper divisors (1111947693).

2442164307 is a wasteful number, since it uses less digits than its factorization.

2442164307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39034.

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 2442164307 is about 49418.2588422538. The cubic root of 2442164307 is about 1346.6610319082.

Adding to 2442164307 its reverse (7034612442), we get a palindrome (9476776749).

The spelling of 2442164307 in words is "two billion, four hundred forty-two million, one hundred sixty-four thousand, three hundred seven".