2005254524 has 48 divisors (see below), whose sum is σ = 4383525888. Its totient is φ = 781437888.

The previous prime is 2005254521. The next prime is 2005254539. The reversal of 2005254524 is 4254525002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005254521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16724 + ... + 65499.

It is an arithmetic number, because the mean of its divisors is an integer number (91323456).

Almost surely, 2^2005254524 is an apocalyptic number.

It is an amenable number.

2005254524 is an abundant number, since it is smaller than the sum of its proper divisors (2378271364).

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

2005254524 is a wasteful number, since it uses less digits than its factorization.

2005254524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82314 (or 82312 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 29.

The square root of 2005254524 is about 44780.0683786883. The cubic root of 2005254524 is about 1261.0234659117.

Adding to 2005254524 its reverse (4254525002), we get a palindrome (6259779526).

The spelling of 2005254524 in words is "two billion, five million, two hundred fifty-four thousand, five hundred twenty-four".