2140360 has 32 divisors (see below), whose sum is σ = 4888440. Its totient is φ = 843264.

The previous prime is 2140349. The next prime is 2140363. The reversal of 2140360 is 630412.

It can be written as a sum of positive squares in 4 ways, for example, as 2114116 + 26244 = 1454^2 + 162^2 .

It is a super-2 number, since 2×2140360² = 9162281859200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2140363) 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, 2554 + ... + 3286.

2^2140360 is an apocalyptic number.

2140360 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 2140360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444220).

2140360 is an abundant number, since it is smaller than the sum of its proper divisors (2748080).

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

2140360 is a wasteful number, since it uses less digits than its factorization.

2140360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2140360 is about 1462.9969241253. The cubic root of 2140360 is about 128.8730999728.

Adding to 2140360 its reverse (630412), we get a palindrome (2770772).

It can be divided in two parts, 2140 and 360, that added together give a square (2500 = 50²).

The spelling of 2140360 in words is "two million, one hundred forty thousand, three hundred sixty".