2005244020 has 48 divisors (see below), whose sum is σ = 4553152128. Its totient is φ = 737424000.

The previous prime is 2005243979. The next prime is 2005244039. The reversal of 2005244020 is 204425002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49897 + ... + 80623.

It is an arithmetic number, because the mean of its divisors is an integer number (94857336).

Almost surely, 2^2005244020 is an apocalyptic number.

2005244020 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 2005244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276576064).

2005244020 is an abundant number, since it is smaller than the sum of its proper divisors (2547908108).

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

2005244020 is a wasteful number, since it uses less digits than its factorization.

2005244020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31000 (or 30998 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2005244020 is about 44779.9510942118. The cubic root of 2005244020 is about 1261.0212640609.

Adding to 2005244020 its reverse (204425002), we get a palindrome (2209669022).

The spelling of 2005244020 in words is "two billion, five million, two hundred forty-four thousand, twenty".