2005650000 has 180 divisors, whose sum is σ = 7017418044. Its totient is φ = 534720000.

The previous prime is 2005649939. The next prime is 2005650001. The reversal of 2005650000 is 565002.

2005650000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1484715024 + 520934976 = 38532^2 + 22824^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005650001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 447772 + ... + 452228.

Almost surely, 2^2005650000 is an apocalyptic number.

2005650000 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 2005650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508709022).

2005650000 is an abundant number, since it is smaller than the sum of its proper divisors (5011768044).

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

2005650000 is an equidigital number, since it uses as much as digits as its factorization.

2005650000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2005650000 is about 44784.4839202150. The cubic root of 2005650000 is about 1261.1063600828.

The spelling of 2005650000 in words is "two billion, five million, six hundred fifty thousand".