2137728 has 64 divisors (see below), whose sum is σ = 5997600. Its totient is φ = 672768.

The previous prime is 2137727. The next prime is 2137741. The reversal of 2137728 is 8277312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2137695 and 2137704.

It is not an unprimeable number, because it can be changed into a prime (2137727) 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, 7150 + ... + 7442.

2^2137728 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 2137728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998800).

2137728 is an abundant number, since it is smaller than the sum of its proper divisors (3859872).

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

2137728 is a wasteful number, since it uses less digits than its factorization.

2137728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 2137728 is about 1462.0971239969. The cubic root of 2137728 is about 128.8202532352.

The spelling of 2137728 in words is "two million, one hundred thirty-seven thousand, seven hundred twenty-eight".