2338020 has 72 divisors (see below), whose sum is σ = 7338240. Its totient is φ = 601920.

The previous prime is 2338003. The next prime is 2338043. The reversal of 2338020 is 208332.

2338020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2337984 and 2338002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5371 + ... + 5789.

It is an arithmetic number, because the mean of its divisors is an integer number (101920).

2^2338020 is an apocalyptic number.

2338020 is a gapful number since it is divisible by the number (20) 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 2338020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669120).

2338020 is an abundant number, since it is smaller than the sum of its proper divisors (5000220).

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

2338020 is a wasteful number, since it uses less digits than its factorization.

2338020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2338020 is about 1529.0585338698. The cubic root of 2338020 is about 132.7239833255.

The spelling of 2338020 in words is "two million, three hundred thirty-eight thousand, twenty".