2538820 has 24 divisors (see below), whose sum is σ = 5421528. Its totient is φ = 998400.

The previous prime is 2538817. The next prime is 2538821. The reversal of 2538820 is 288352.

2538820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4356 + 2534464 = 66^2 + 1592^2 .

It is a super-3 number, since 3×2538820³ = 49092707833334904000, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2538821) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 180 + ... + 2260.

It is an arithmetic number, because the mean of its divisors is an integer number (225897).

2^2538820 is an apocalyptic number.

2538820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2538820 is an abundant number, since it is smaller than the sum of its proper divisors (2882708).

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

2538820 is a wasteful number, since it uses less digits than its factorization.

2538820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 2538820 is about 1593.3675031204. The cubic root of 2538820 is about 136.4197670604.

The spelling of 2538820 in words is "two million, five hundred thirty-eight thousand, eight hundred twenty".