2005303124 has 48 divisors (see below), whose sum is σ = 3914640576. Its totient is φ = 891072000.

The previous prime is 2005303123. The next prime is 2005303133. The reversal of 2005303124 is 4213035002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2005303096 and 2005303105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005303123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714524 + ... + 717324.

It is an arithmetic number, because the mean of its divisors is an integer number (81555012).

Almost surely, 2^2005303124 is an apocalyptic number.

It is an amenable number.

2005303124 is a deficient number, since it is larger than the sum of its proper divisors (1909337452).

2005303124 is a wasteful number, since it uses less digits than its factorization.

2005303124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2005303124 is about 44780.6110275418. The cubic root of 2005303124 is about 1261.0336533542.

Adding to 2005303124 its reverse (4213035002), we get a palindrome (6218338126).

The spelling of 2005303124 in words is "two billion, five million, three hundred three thousand, one hundred twenty-four".