2652 has 24 divisors (see below), whose sum is σ = 7056. Its totient is φ = 768.

The previous prime is 2647. The next prime is 2657. The reversal of 2652 is 2562.

2652 is nontrivially palindromic in base 11.

2652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2647) and next prime (2657).

It is a plaindrome in base 9 and base 15.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 2652.

It is not an unprimeable number, because it can be changed into a prime (2657) 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, 148 + ... + 164.

It is an arithmetic number, because the mean of its divisors is an integer number (294).

It is a pronic number, being equal to 51×52.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528).

2652 is an abundant number, since it is smaller than the sum of its proper divisors (4404).

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

2652 is a wasteful number, since it uses less digits than its factorization.

2652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 35 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 2652 is about 51.4975727583. The cubic root of 2652 is about 13.8417554881.

Adding to 2652 its product of digits (120), we get a palindrome (2772).

It can be divided in two parts, 26 and 52, that added together give a triangular number (78 = T_{12}).

The spelling of 2652 in words is "two thousand, six hundred fifty-two".

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