2736 has 30 divisors (see below), whose sum is σ = 8060. Its totient is φ = 864.

The previous prime is 2731. The next prime is 2741. The reversal of 2736 is 6372.

It is an interprime number because it is at equal distance from previous prime (2731) and next prime (2741).

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2731) by changing a digit.

2736 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135 + ... + 153.

2^{2736} 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 2736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030).

2736 is an abundant number, since it is smaller than the sum of its proper divisors (5324).

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

2736 is a wasteful number, since it uses less digits than its factorization.

2736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 24 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 2736 is about 52.3067873225. The cubic root of 2736 is about 13.9863813144.

The spelling of 2736 in words is "two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736

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