2138420 has 12 divisors (see below), whose sum is σ = 4490724. Its totient is φ = 855360.

The previous prime is 2138419. The next prime is 2138429. The reversal of 2138420 is 248312.

It can be written as a sum of positive squares in 2 ways, for example, as 1507984 + 630436 = 1228^2 + 794^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 106921 = 2138420 / (2 + 1 + 3 + 8 + 4 + 2 + 0).

It is a d-powerful number, because it can be written as 2¹³ + 1 + 3⁵ + 8⁵ + 4³ + 2²¹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2138392 and 2138401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138429) 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 3 ways as a sum of consecutive naturals, for example, 53441 + ... + 53480.

It is an arithmetic number, because the mean of its divisors is an integer number (374227).

2^2138420 is an apocalyptic number.

2138420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138420 is an abundant number, since it is smaller than the sum of its proper divisors (2352304).

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

2138420 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 2138420 = (4018322)₉.

2138420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106930 (or 106928 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2138420 is about 1462.3337512346. Note that the first 3 decimals coincide. The cubic root of 2138420 is about 128.8341517914.

The spelling of 2138420 in words is "two million, one hundred thirty-eight thousand, four hundred twenty".