2144411040 has 96 divisors (see below), whose sum is σ = 6765897600. Its totient is φ = 570911744.

The previous prime is 2144411023. The next prime is 2144411063. The reversal of 2144411040 is 401144412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2144410998 and 2144411016.

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 15 ways as a sum of consecutive naturals, for example, 321661 + ... + 328259.

It is an arithmetic number, because the mean of its divisors is an integer number (70478100).

Almost surely, 2^2144411040 is an apocalyptic number.

2144411040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382948800).

2144411040 is an abundant number, since it is smaller than the sum of its proper divisors (4621486560).

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

2144411040 is a wasteful number, since it uses less digits than its factorization.

2144411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7294 (or 7286 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2144411040 is about 46307.7859544159. The cubic root of 2144411040 is about 1289.5435438118.

Adding to 2144411040 its reverse (401144412), we get a palindrome (2545555452).

The spelling of 2144411040 in words is "two billion, one hundred forty-four million, four hundred eleven thousand, forty".