2065205000 has 80 divisors (see below), whose sum is σ = 5093682000. Its totient is φ = 782568000.

The previous prime is 2065204997. The next prime is 2065205003. The reversal of 2065205000 is 5025602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2065204997) and next prime (2065205003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2065205003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84131 + ... + 105869.

It is an arithmetic number, because the mean of its divisors is an integer number (63671025).

Almost surely, 2^2065205000 is an apocalyptic number.

2065205000 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 2065205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546841000).

2065205000 is an abundant number, since it is smaller than the sum of its proper divisors (3028477000).

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

2065205000 is a wasteful number, since it uses less digits than its factorization.

2065205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21784 (or 21765 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2065205000 is about 45444.5266231259. The cubic root of 2065205000 is about 1273.4670799332.

The spelling of 2065205000 in words is "two billion, sixty-five million, two hundred five thousand".