2005225040 has 360 divisors, whose sum is σ = 6220617480. Its totient is φ = 595703808.

The previous prime is 2005225037. The next prime is 2005225073. The reversal of 2005225040 is 405225002.

It can be written as a sum of positive squares in 4 ways, for example, as 102171664 + 1903053376 = 10108^2 + 43624^2 .

It is a super-2 number, since 2×2005225040² = 8041854922086003200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18396506 + ... + 18396614.

It is an arithmetic number, because the mean of its divisors is an integer number (17279493).

Almost surely, 2^2005225040 is an apocalyptic number.

2005225040 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 2005225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110308740).

2005225040 is an abundant number, since it is smaller than the sum of its proper divisors (4215392440).

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

2005225040 is a wasteful number, since it uses less digits than its factorization.

2005225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2005225040 is about 44779.7391685124. The cubic root of 2005225040 is about 1261.0172854497.

The spelling of 2005225040 in words is "two billion, five million, two hundred twenty-five thousand, forty".