2005514544 has 80 divisors (see below), whose sum is σ = 5703920640. Its totient is φ = 602138880.

The previous prime is 2005514477. The next prime is 2005514561. The reversal of 2005514544 is 4454155002.

2005514544 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40129 + ... + 74975.

It is an arithmetic number, because the mean of its divisors is an integer number (71299008).

Almost surely, 2^2005514544 is an apocalyptic number.

2005514544 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 2005514544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851960320).

2005514544 is an abundant number, since it is smaller than the sum of its proper divisors (3698406096).

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

2005514544 is a wasteful number, since it uses less digits than its factorization.

2005514544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34978 (or 34972 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 2005514544 is about 44782.9715851907. The cubic root of 2005514544 is about 1261.0779689097.

Adding to 2005514544 its reverse (4454155002), we get a palindrome (6459669546).

The spelling of 2005514544 in words is "two billion, five million, five hundred fourteen thousand, five hundred forty-four".