2541753 has 16 divisors (see below), whose sum is σ = 3930240. Its totient is φ = 1620432.

The previous prime is 2541743. The next prime is 2541757. The reversal of 2541753 is 3571452.

It is a happy number.

2541753 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 2541753 - 2⁶ = 2541689 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2541757) 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, 1426 + ... + 2667.

It is an arithmetic number, because the mean of its divisors is an integer number (245640).

2^2541753 is an apocalyptic number.

2541753 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2541753 is a deficient number, since it is larger than the sum of its proper divisors (1388487).

2541753 is a wasteful number, since it uses less digits than its factorization.

2541753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4119 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 2541753 is about 1594.2876152062. The cubic root of 2541753 is about 136.4722803270.

The spelling of 2541753 in words is "two million, five hundred forty-one thousand, seven hundred fifty-three".