2137248 has 72 divisors (see below), whose sum is σ = 6260436. Its totient is φ = 691200.

The previous prime is 2137243. The next prime is 2137259. The reversal of 2137248 is 8427312.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 725904 = 1188^2 + 852^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2137243) 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 11 ways as a sum of consecutive naturals, for example, 11718 + ... + 11898.

2^2137248 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 2137248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130218).

2137248 is an abundant number, since it is smaller than the sum of its proper divisors (4123188).

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

2137248 is a wasteful number, since it uses less digits than its factorization.

2137248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2137248 is about 1461.9329669995. The cubic root of 2137248 is about 128.8106108563.

Subtracting 2137248 from its reverse (8427312), we obtain a square (6290064 = 2508²).

The spelling of 2137248 in words is "two million, one hundred thirty-seven thousand, two hundred forty-eight".