2005123302 has 256 divisors, whose sum is σ = 5809950720. Its totient is φ = 498161664.

The previous prime is 2005123297. The next prime is 2005123331. The reversal of 2005123302 is 2033215002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12771408 + ... + 12771564.

It is an arithmetic number, because the mean of its divisors is an integer number (22695120).

Almost surely, 2^2005123302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005123302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904975360).

2005123302 is an abundant number, since it is smaller than the sum of its proper divisors (3804827418).

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

2005123302 is a wasteful number, since it uses less digits than its factorization.

2005123302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2005123302 is about 44778.6031716042. The cubic root of 2005123302 is about 1260.9959585755.

Adding to 2005123302 its reverse (2033215002), we get a palindrome (4038338304).

The spelling of 2005123302 in words is "two billion, five million, one hundred twenty-three thousand, three hundred two".