2005524 has 72 divisors (see below), whose sum is σ = 5601960. Its totient is φ = 602112.

The previous prime is 2005519. The next prime is 2005547. The reversal of 2005524 is 4255002.

It can be written as a sum of positive squares in 4 ways, for example, as 101124 + 1904400 = 318^2 + 1380^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2005497 and 2005506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17692 + ... + 17804.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

2^2005524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800980).

2005524 is an abundant number, since it is smaller than the sum of its proper divisors (3596436).

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

2005524 is a wasteful number, since it uses less digits than its factorization.

2005524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2005524 is about 1416.1652445954. The cubic root of 2005524 is about 126.1079950901.

It can be divided in two parts, 200552 and 4, that multiplied together give a palindrome (802208).

The spelling of 2005524 in words is "two million, five thousand, five hundred twenty-four".