2005524540 has 144 divisors (see below), whose sum is σ = 6340239360. Its totient is φ = 512565120.

The previous prime is 2005524539. The next prime is 2005524559. The reversal of 2005524540 is 454255002.

2005524540 is a `hidden beast` number, since 200 + 5 + 5 + 2 + 454 + 0 = 666.

It is a super-3 number, since 3×2005524540³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 595381 + ... + 598739.

It is an arithmetic number, because the mean of its divisors is an integer number (44029440).

Almost surely, 2^2005524540 is an apocalyptic number.

2005524540 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 2005524540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170119680).

2005524540 is an abundant number, since it is smaller than the sum of its proper divisors (4334714820).

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

2005524540 is a wasteful number, since it uses less digits than its factorization.

2005524540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2005524540 is about 44783.0831899725. The cubic root of 2005524540 is about 1261.0800640852.

Adding to 2005524540 its reverse (454255002), we get a palindrome (2459779542).

The spelling of 2005524540 in words is "two billion, five million, five hundred twenty-four thousand, five hundred forty".