2144513306 has 16 divisors (see below), whose sum is σ = 3496000200. Its totient is φ = 980693568.

The previous prime is 2144513279. The next prime is 2144513333. The reversal of 2144513306 is 6033154412.

It is an interprime number because it is at equal distance from previous prime (2144513279) and next prime (2144513333).

It can be written as a sum of positive squares in 4 ways, for example, as 1102837681 + 1041675625 = 33209^2 + 32275^2 .

It is a super-2 number, since 2×2144513306² = 9197874639222099272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375521 + ... + 381188.

Almost surely, 2^2144513306 is an apocalyptic number.

2144513306 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2144513306 is a deficient number, since it is larger than the sum of its proper divisors (1351486894).

2144513306 is a wasteful number, since it uses less digits than its factorization.

2144513306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756833.

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 2144513306 is about 46308.8901400152. The cubic root of 2144513306 is about 1289.5640427369.

Adding to 2144513306 its reverse (6033154412), we get a palindrome (8177667718).

The spelling of 2144513306 in words is "two billion, one hundred forty-four million, five hundred thirteen thousand, three hundred six".