2700 has 36 divisors (see below), whose sum is σ = 8680. Its totient is φ = 720.

The previous prime is 2699. The next prime is 2707. The reversal of 2700 is 72.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2707) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 538 + ... + 542.

2^{2700} is an apocalyptic number.

2700 is a gapful number since it is divisible by the number (20) 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 2700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340).

2700 is an abundant number, since it is smaller than the sum of its proper divisors (5980).

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

2700 is a wasteful number, since it uses less digits than its factorization.

2700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 9.

The square root of 2700 is about 51.9615242271. The cubic root of 2700 is about 13.9247665008.

Adding to 2700 its reverse (72), we get a palindrome (2772).

Subtracting from 2700 its reverse (72), we obtain a triangular number (2628 = T_{72}).

The spelling of 2700 in words is "two thousand, seven hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700

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