2442132304311 has 16 divisors (see below), whose sum is σ = 3725447408384. Its totient is φ = 1393965569664.

The previous prime is 2442132304309. The next prime is 2442132304319. The reversal of 2442132304311 is 1134032312442.

It is not a de Polignac number, because 2442132304311 - 2¹ = 2442132304309 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 (2442132304319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64089010 + ... + 64127103.

It is an arithmetic number, because the mean of its divisors is an integer number (232840463024).

Almost surely, 2^{2442132304311} is an apocalyptic number.

2442132304311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2442132304311 is a deficient number, since it is larger than the sum of its proper divisors (1283315104073).

2442132304311 is a wasteful number, since it uses less digits than its factorization.

2442132304311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128217030.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 2442132304311 its reverse (1134032312442), we get a palindrome (3576164616753).

The spelling of 2442132304311 in words is "two trillion, four hundred forty-two billion, one hundred thirty-two million, three hundred four thousand, three hundred eleven".