2005210386 has 96 divisors (see below), whose sum is σ = 4579061760. Its totient is φ = 633420000.

The previous prime is 2005210381. The next prime is 2005210387. The reversal of 2005210386 is 6830125002.

It is not an unprimeable number, because it can be changed into a prime (2005210381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7988761 + ... + 7989011.

It is an arithmetic number, because the mean of its divisors is an integer number (47698560).

Almost surely, 2^2005210386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005210386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289530880).

2005210386 is an abundant number, since it is smaller than the sum of its proper divisors (2573851374).

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

2005210386 is a wasteful number, since it uses less digits than its factorization.

2005210386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2005210386 is about 44779.5755451076. The cubic root of 2005210386 is about 1261.0142136428.

Adding to 2005210386 its reverse (6830125002), we get a palindrome (8835335388).

The spelling of 2005210386 in words is "two billion, five million, two hundred ten thousand, three hundred eighty-six".