2138576 has 40 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 936320.

The previous prime is 2138569. The next prime is 2138593. The reversal of 2138576 is 6758312.

It is a happy number.

It is a d-powerful number, because it can be written as 2⁹ + 1 + 3¹¹ + 8 + 5⁹ + 7 + 6⁵ .

It is a congruent number.

It is an unprimeable number.

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, 4895 + ... + 5313.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

2^2138576 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 2138576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

2138576 is an abundant number, since it is smaller than the sum of its proper divisors (2548624).

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

2138576 is a wasteful number, since it uses less digits than its factorization.

2138576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 461 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 2138576 is about 1462.3870896585. The cubic root of 2138576 is about 128.8372845778.

The spelling of 2138576 in words is "two million, one hundred thirty-eight thousand, five hundred seventy-six".