2138688 has 84 divisors (see below), whose sum is σ = 6339840. Its totient is φ = 688896.

The previous prime is 2138687. The next prime is 2138693. The reversal of 2138688 is 8868312.

It is a super-2 number, since 2×2138688² = 9147972722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹³ + 1 + 3³ + 8³ + 6² + 8⁵ + 8⁷ .

Its product of digits (18432) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27033 + ... + 27111.

2^2138688 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 2138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169920).

2138688 is an abundant number, since it is smaller than the sum of its proper divisors (4201152).

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

2138688 is a wasteful number, since it uses less digits than its factorization.

2138688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2138688 is about 1462.4253827119. The cubic root of 2138688 is about 128.8395336638.

The spelling of 2138688 in words is "two million, one hundred thirty-eight thousand, six hundred eighty-eight".