2164344 has 64 divisors (see below), whose sum is σ = 6666240. Its totient is φ = 570240.

The previous prime is 2164313. The next prime is 2164367. The reversal of 2164344 is 4434612.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1689 + ... + 2679.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

2^2164344 is an apocalyptic number.

2164344 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 2164344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333120).

2164344 is an abundant number, since it is smaller than the sum of its proper divisors (4501896).

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

2164344 is a wasteful number, since it uses less digits than its factorization.

2164344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1016 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2164344 is about 1471.1709621930. The cubic root of 2164344 is about 129.3526795259.

Adding to 2164344 its reverse (4434612), we get a palindrome (6598956).

It can be divided in two parts, 216 and 4344, that added together give a triangular number (4560 = T₉₅).

The spelling of 2164344 in words is "two million, one hundred sixty-four thousand, three hundred forty-four".