2137360 has 20 divisors (see below), whose sum is σ = 4969548. Its totient is φ = 854912.

The previous prime is 2137351. The next prime is 2137361. The reversal of 2137360 is 637312.

2137360 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 1547536 = 768^2 + 1244^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (2137361) 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 3 ways as a sum of consecutive naturals, for example, 13279 + ... + 13438.

2^2137360 is an apocalyptic number.

2137360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137360 is an abundant number, since it is smaller than the sum of its proper divisors (2832188).

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

2137360 is a wasteful number, since it uses less digits than its factorization.

2137360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26730 (or 26724 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 2137360 is about 1461.9712719476. The cubic root of 2137360 is about 128.8128608739.

The spelling of 2137360 in words is "two million, one hundred thirty-seven thousand, three hundred sixty".