2144034210031 has 32 divisors (see below), whose sum is σ = 2646542131200. Its totient is φ = 1696255102080.

The previous prime is 2144034209963. The next prime is 2144034210049. The reversal of 2144034210031 is 1300124304412.

It is not a de Polignac number, because 2144034210031 - 2³⁹ = 1594278396143 is a prime.

It is a super-2 number, since 2×2144034210031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2144034209978 and 2144034210005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144034210631) 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 31 ways as a sum of consecutive naturals, for example, 8082241 + ... + 8343301.

It is an arithmetic number, because the mean of its divisors is an integer number (82704441600).

Almost surely, 2^{2144034210031} is an apocalyptic number.

2144034210031 is a deficient number, since it is larger than the sum of its proper divisors (502507921169).

2144034210031 is a wasteful number, since it uses less digits than its factorization.

2144034210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262879.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2144034210031 its reverse (1300124304412), we get a palindrome (3444158514443).

The spelling of 2144034210031 in words is "two trillion, one hundred forty-four billion, thirty-four million, two hundred ten thousand, thirty-one".