2137268 has 24 divisors (see below), whose sum is σ = 4392192. Its totient is φ = 890784.

The previous prime is 2137259. The next prime is 2137273. The reversal of 2137268 is 8627312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2137268.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5 + ... + 2067.

It is an arithmetic number, because the mean of its divisors is an integer number (183008).

2^2137268 is an apocalyptic number.

2137268 is a gapful number since it is divisible by the number (28) 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 2137268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196096).

2137268 is an abundant number, since it is smaller than the sum of its proper divisors (2254924).

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

2137268 is a wasteful number, since it uses less digits than its factorization.

2137268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2109 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 2137268 is about 1461.9398072424. The cubic root of 2137268 is about 128.8110126510.

The spelling of 2137268 in words is "two million, one hundred thirty-seven thousand, two hundred sixty-eight".