2214160 has 40 divisors (see below), whose sum is σ = 5546520. Its totient is φ = 817152.

The previous prime is 2214137. The next prime is 2214161. The reversal of 2214160 is 614122.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 2214144 = 4^2 + 1488^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25 + ... + 2104.

It is an arithmetic number, because the mean of its divisors is an integer number (138663).

2^2214160 is an apocalyptic number.

2214160 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 2214160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773260).

2214160 is an abundant number, since it is smaller than the sum of its proper divisors (3332360).

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

2214160 is a wasteful number, since it uses less digits than its factorization.

2214160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2214160 is about 1488.0053763344. The cubic root of 2214160 is about 130.3375841408.

Subtracting from 2214160 its sum of digits (16), we obtain a square (2214144 = 1488²).

Adding to 2214160 its reverse (614122), we get a palindrome (2828282).

It can be divided in two parts, 22141 and 60, that added together give a square (22201 = 149²).

The spelling of 2214160 in words is "two million, two hundred fourteen thousand, one hundred sixty".