2144430864 has 135 divisors (see below), whose sum is σ = 6403427797. Its totient is φ = 669798912.

The previous prime is 2144430857. The next prime is 2144430923. The reversal of 2144430864 is 4680344412.

The square root of 2144430864 is 46308.

It is a perfect power (a square), and thus also a powerful number.

2144430864 is a `hidden beast` number, since 2 + 144 + 430 + 86 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1669539600 + 474891264 = 40860^2 + 21792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9446719 + ... + 9446945.

Almost surely, 2^2144430864 is an apocalyptic number.

2144430864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2144430864 is the 46308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144430864

2144430864 is an abundant number, since it is smaller than the sum of its proper divisors (4258996933).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2144430864 is a wasteful number, since it uses less digits than its factorization.

2144430864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The cubic root of 2144430864 is about 1289.5475175265.

Multiplying 2144430864 by its sum of digits (36), we get a square (77199511104 = 277848²).

2144430864 divided by its sum of digits (36) gives a square (59567524 = 7718²).

The spelling of 2144430864 in words is "two billion, one hundred forty-four million, four hundred thirty thousand, eight hundred sixty-four".