2538081 has 32 divisors (see below), whose sum is σ = 4632320. Its totient is φ = 1337472.

The previous prime is 2538079. The next prime is 2538091. The reversal of 2538081 is 1808352.

It is a happy number.

2538081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2538081 - 2¹ = 2538079 is a prime.

It is a super-2 number, since 2×2538081² = 12883710325122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

2538081 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2538031) 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 31 ways as a sum of consecutive naturals, for example, 1941 + ... + 2973.

It is an arithmetic number, because the mean of its divisors is an integer number (144760).

2^2538081 is an apocalyptic number.

2538081 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2538081 is a deficient number, since it is larger than the sum of its proper divisors (2094239).

2538081 is a wasteful number, since it uses less digits than its factorization.

2538081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2538081 is about 1593.1355874501. The cubic root of 2538081 is about 136.4065294157.

The spelling of 2538081 in words is "two million, five hundred thirty-eight thousand, eighty-one".