2005521504 has 48 divisors (see below), whose sum is σ = 6016566528. Its totient is φ = 573005952.

The previous prime is 2005521503. The next prime is 2005521509. The reversal of 2005521504 is 4051255002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005521503) 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, 1491532 + ... + 1492875.

It is an arithmetic number, because the mean of its divisors is an integer number (125345136).

Almost surely, 2^2005521504 is an apocalyptic number.

2005521504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2005521504 is an abundant number, since it is smaller than the sum of its proper divisors (4011045024).

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

2005521504 is a wasteful number, since it uses less digits than its factorization.

2005521504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984427 (or 2984419 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 2005521504 is about 44783.0492932315. The cubic root of 2005521504 is about 1261.0794277361.

Adding to 2005521504 its reverse (4051255002), we get a palindrome (6056776506).

The spelling of 2005521504 in words is "two billion, five million, five hundred twenty-one thousand, five hundred four".