2005532544 has 64 divisors (see below), whose sum is σ = 5334693840. Its totient is φ = 667570176.

The previous prime is 2005532539. The next prime is 2005532549. The reversal of 2005532544 is 4452355002.

It is an interprime number because it is at equal distance from previous prime (2005532539) and next prime (2005532549).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2005532544² = 8044321570086223872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005532549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302772 + ... + 309324.

Almost surely, 2^2005532544 is an apocalyptic number.

2005532544 is a gapful number since it is divisible by the number (24) 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 2005532544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667346920).

2005532544 is an abundant number, since it is smaller than the sum of its proper divisors (3329161296).

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

2005532544 is an equidigital number, since it uses as much as digits as its factorization.

2005532544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7367 (or 7355 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 2005532544 is about 44783.1725539851. The cubic root of 2005532544 is about 1261.0817417296.

Adding to 2005532544 its reverse (4452355002), we get a palindrome (6457887546).

The spelling of 2005532544 in words is "two billion, five million, five hundred thirty-two thousand, five hundred forty-four".