2105765220 has 96 divisors (see below), whose sum is σ = 6357456000. Its totient is φ = 517708800.

The previous prime is 2105765203. The next prime is 2105765237. The reversal of 2105765220 is 225675012.

It is an interprime number because it is at equal distance from previous prime (2105765203) and next prime (2105765237).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1168320 + ... + 1170120.

It is an arithmetic number, because the mean of its divisors is an integer number (66223500).

Almost surely, 2^2105765220 is an apocalyptic number.

2105765220 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 2105765220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178728000).

2105765220 is an abundant number, since it is smaller than the sum of its proper divisors (4251690780).

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

2105765220 is a wasteful number, since it uses less digits than its factorization.

2105765220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 2105765220 is about 45888.6175429158. The cubic root of 2105765220 is about 1281.7499705073.

The spelling of 2105765220 in words is "two billion, one hundred five million, seven hundred sixty-five thousand, two hundred twenty".