2144160 has 72 divisors (see below), whose sum is σ = 7321860. Its totient is φ = 571392.

The previous prime is 2144143. The next prime is 2144161. The reversal of 2144160 is 614412.

It can be written as a sum of positive squares in 2 ways, for example, as 2039184 + 104976 = 1428^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 696 + ... + 2184.

2^2144160 is an apocalyptic number.

2144160 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 2144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660930).

2144160 is an abundant number, since it is smaller than the sum of its proper divisors (5177700).

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

2144160 is a wasteful number, since it uses less digits than its factorization.

2144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2144160 is about 1464.2950522350. The cubic root of 2144160 is about 128.9493220803.

Adding to 2144160 its reverse (614412), we get a palindrome (2758572).

It can be divided in two parts, 2144 and 160, that added together give a square (2304 = 48²).

The spelling of 2144160 in words is "two million, one hundred forty-four thousand, one hundred sixty".