2005528 has 32 divisors (see below), whose sum is σ = 4377600. Its totient is φ = 843552.

The previous prime is 2005519. The next prime is 2005547. The reversal of 2005528 is 8255002.

It is a junction number, because it is equal to n+sod(n) for n = 2005499 and 2005508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3001 + ... + 3607.

It is an arithmetic number, because the mean of its divisors is an integer number (136800).

2^2005528 is an apocalyptic number.

2005528 is a gapful number since it is divisible by the number (28) 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 2005528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188800).

2005528 is an abundant number, since it is smaller than the sum of its proper divisors (2372072).

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

2005528 is a wasteful number, since it uses less digits than its factorization.

2005528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 2005528 is about 1416.1666568593. The cubic root of 2005528 is about 126.1080789304.

The spelling of 2005528 in words is "two million, five thousand, five hundred twenty-eight".