2538003 has 16 divisors (see below), whose sum is σ = 3709440. Its totient is φ = 1533984.

The previous prime is 2537999. The next prime is 2538017. The reversal of 2538003 is 3008352.

2538003 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 2538003 - 2² = 2537999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2538103) 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 15 ways as a sum of consecutive naturals, for example, 1750 + ... + 2852.

It is an arithmetic number, because the mean of its divisors is an integer number (231840).

2^2538003 is an apocalyptic number.

2538003 is a deficient number, since it is larger than the sum of its proper divisors (1171437).

2538003 is a wasteful number, since it uses less digits than its factorization.

2538003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2538003 is about 1593.1111072364. Note that the first 4 decimals coincide. The cubic root of 2538003 is about 136.4051320584.

It can be divided in two parts, 253 and 8003, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 2538003 in words is "two million, five hundred thirty-eight thousand, three".