2005603820 has 24 divisors (see below), whose sum is σ = 4594656528. Its totient is φ = 729310400.

The previous prime is 2005603813. The next prime is 2005603829. The reversal of 2005603820 is 283065002.

It is a self number, because there is not a number n which added to its sum of digits gives 2005603820.

It is not an unprimeable number, because it can be changed into a prime (2005603829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4557971 + ... + 4558410.

It is an arithmetic number, because the mean of its divisors is an integer number (191444022).

Almost surely, 2^2005603820 is an apocalyptic number.

2005603820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005603820 is an abundant number, since it is smaller than the sum of its proper divisors (2589052708).

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

2005603820 is a wasteful number, since it uses less digits than its factorization.

2005603820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9116401 (or 9116399 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2005603820 is about 44783.9683368948. The cubic root of 2005603820 is about 1261.0966810363.

Adding to 2005603820 its reverse (283065002), we get a palindrome (2288668822).

The spelling of 2005603820 in words is "two billion, five million, six hundred three thousand, eight hundred twenty".