2005745920 has 72 divisors (see below), whose sum is σ = 4822584984. Its totient is φ = 799260672.

The previous prime is 2005745899. The next prime is 2005745933. The reversal of 2005745920 is 295475002.

It can be written as a sum of positive squares in 4 ways, for example, as 15872256 + 1989873664 = 3984^2 + 44608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351732 + ... + 357388.

It is an arithmetic number, because the mean of its divisors is an integer number (66980347).

Almost surely, 2^2005745920 is an apocalyptic number.

2005745920 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 2005745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411292492).

2005745920 is an abundant number, since it is smaller than the sum of its proper divisors (2816839064).

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

2005745920 is an equidigital number, since it uses as much as digits as its factorization.

2005745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5955 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 2005745920 is about 44785.5548140246. The cubic root of 2005745920 is about 1261.1264638553.

The spelling of 2005745920 in words is "two billion, five million, seven hundred forty-five thousand, nine hundred twenty".