2144064 has 56 divisors (see below), whose sum is σ = 6116320. Its totient is φ = 658944.

The previous prime is 2144063. The next prime is 2144081. The reversal of 2144064 is 4604412.

It is a self number, because there is not a number n which added to its sum of digits gives 2144064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2067 + ... + 2925.

It is an arithmetic number, because the mean of its divisors is an integer number (109220).

2^2144064 is an apocalyptic number.

2144064 is a gapful number since it is divisible by the number (24) 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 2144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058160).

2144064 is an abundant number, since it is smaller than the sum of its proper divisors (3972256).

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

2144064 is a wasteful number, since it uses less digits than its factorization.

2144064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2144064 is about 1464.2622715893. The cubic root of 2144064 is about 128.9473975785.

Subtracting from 2144064 its product of nonzero digits (768), we obtain a square (2143296 = 1464²).

Adding to 2144064 its reverse (4604412), we get a palindrome (6748476).

It can be divided in two parts, 214 and 4064, that added together give a triangular number (4278 = T₉₂).

The spelling of 2144064 in words is "two million, one hundred forty-four thousand, sixty-four".