2005210000 has 100 divisors (see below), whose sum is σ = 4880937600. Its totient is φ = 797776000.

The previous prime is 2005209971. The next prime is 2005210033. The reversal of 2005210000 is 125002.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2389581 + ... + 2390419.

It is an arithmetic number, because the mean of its divisors is an integer number (48809376).

Almost surely, 2^2005210000 is an apocalyptic number.

2005210000 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 2005210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440468800).

2005210000 is an abundant number, since it is smaller than the sum of its proper divisors (2875727600).

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

2005210000 is an equidigital number, since it uses as much as digits as its factorization.

2005210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 2005210000 is about 44779.5712351068. The cubic root of 2005210000 is about 1261.0141327283.

Adding to 2005210000 its reverse (125002), we get a palindrome (2005335002).

The spelling of 2005210000 in words is "two billion, five million, two hundred ten thousand".