2140164 has 72 divisors (see below), whose sum is σ = 6191640. Its totient is φ = 617472.

The previous prime is 2140163. The next prime is 2140169. The reversal of 2140164 is 4610412.

It can be written as a sum of positive squares in 4 ways, for example, as 14400 + 2125764 = 120^2 + 1458^2 .

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 (2140163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7822 + ... + 8090.

It is an arithmetic number, because the mean of its divisors is an integer number (85995).

2^2140164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095820).

2140164 is an abundant number, since it is smaller than the sum of its proper divisors (4051476).

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

2140164 is a wasteful number, since it uses less digits than its factorization.

2140164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 304 counting only the distinct ones).

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

The square root of 2140164 is about 1462.9299368049. The cubic root of 2140164 is about 128.8691660710.

Adding to 2140164 its reverse (4610412), we get a palindrome (6750576).

It can be divided in two parts, 2140 and 164, that added together give a square (2304 = 48²).

The spelling of 2140164 in words is "two million, one hundred forty thousand, one hundred sixty-four".