2005533040 has 160 divisors (see below), whose sum is σ = 5514397056. Its totient is φ = 664043520.

The previous prime is 2005532989. The next prime is 2005533041. The reversal of 2005533040 is 403355002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005533041) 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 31 ways as a sum of consecutive naturals, for example, 2594094 + ... + 2594866.

Almost surely, 2^2005533040 is an apocalyptic number.

2005533040 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 2005533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757198528).

2005533040 is an abundant number, since it is smaller than the sum of its proper divisors (3508864016).

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

2005533040 is a wasteful number, since it uses less digits than its factorization.

2005533040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 2005533040 is about 44783.1780917791. The cubic root of 2005533040 is about 1261.0818456915.

Adding to 2005533040 its reverse (403355002), we get a palindrome (2408888042).

The spelling of 2005533040 in words is "two billion, five million, five hundred thirty-three thousand, forty".