2106205002 has 48 divisors (see below), whose sum is σ = 5008191552. Its totient is φ = 634412160.

The previous prime is 2106204949. The next prime is 2106205019. The reversal of 2106205002 is 2005026012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1218 + ... + 64914.

It is an arithmetic number, because the mean of its divisors is an integer number (104337324).

Almost surely, 2^2106205002 is an apocalyptic number.

2106205002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106205002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504095776).

2106205002 is an abundant number, since it is smaller than the sum of its proper divisors (2901986550).

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

2106205002 is a wasteful number, since it uses less digits than its factorization.

2106205002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63883 (or 63880 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2106205002 is about 45893.4091346459. The cubic root of 2106205002 is about 1281.8391940230.

The spelling of 2106205002 in words is "two billion, one hundred six million, two hundred five thousand, two".