2137842 has 72 divisors (see below), whose sum is σ = 5705856. Its totient is φ = 566352.

The previous prime is 2137841. The next prime is 2137859. The reversal of 2137842 is 2487312.

2137842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45463 + ... + 45509.

It is an arithmetic number, because the mean of its divisors is an integer number (79248).

2^2137842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852928).

2137842 is an abundant number, since it is smaller than the sum of its proper divisors (3568014).

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

2137842 is a wasteful number, since it uses less digits than its factorization.

2137842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

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

The square root of 2137842 is about 1462.1361085754. The cubic root of 2137842 is about 128.8225430881.

The spelling of 2137842 in words is "two million, one hundred thirty-seven thousand, eight hundred forty-two".