2005335420 has 144 divisors (see below), whose sum is σ = 6323262624. Its totient is φ = 474214400.

The previous prime is 2005335391. The next prime is 2005335443. The reversal of 2005335420 is 245335002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294292 + ... + 301028.

It is an arithmetic number, because the mean of its divisors is an integer number (43911546).

Almost surely, 2^2005335420 is an apocalyptic number.

2005335420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005335420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161631312).

2005335420 is an abundant number, since it is smaller than the sum of its proper divisors (4317927204).

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

2005335420 is a wasteful number, since it uses less digits than its factorization.

2005335420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6812 (or 6799 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 2005335420 is about 44780.9716285835. The cubic root of 2005335420 is about 1261.0404230912.

The spelling of 2005335420 in words is "two billion, five million, three hundred thirty-five thousand, four hundred twenty".