2052 has 24 divisors (see below), whose sum is σ = 5600. Its totient is φ = 648.

The previous prime is 2039. The next prime is 2053. The reversal of 2052 is 2502.

2052 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 2052.

It is not an unprimeable number, because it can be changed into a prime (2053) by changing a digit.

2052 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99 + ... + 117.

2^{2052} 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 2052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800).

2052 is an abundant number, since it is smaller than the sum of its proper divisors (3548).

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

2052 is a wasteful number, since it uses less digits than its factorization.

2052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 2052 is about 45.2990066116. The cubic root of 2052 is about 12.7074707528.

Adding to 2052 its reverse (2502), we get a palindrome (4554).

The spelling of 2052 in words is "two thousand, fifty-two", and thus it is an eban number.

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