2137824 has 72 divisors (see below), whose sum is σ = 6558552. Its totient is φ = 656640.

The previous prime is 2137813. The next prime is 2137829. The reversal of 2137824 is 4287312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3459 + ... + 4029.

It is an arithmetic number, because the mean of its divisors is an integer number (91091).

2^2137824 is an apocalyptic number.

2137824 is a gapful number since it is divisible by the number (24) 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 2137824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279276).

2137824 is an abundant number, since it is smaller than the sum of its proper divisors (4420728).

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

2137824 is a wasteful number, since it uses less digits than its factorization.

2137824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 589 counting only the distinct ones).

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

The square root of 2137824 is about 1462.1299531847. The cubic root of 2137824 is about 128.8221815378.

The spelling of 2137824 in words is "two million, one hundred thirty-seven thousand, eight hundred twenty-four".