2760 has 32 divisors (see below), whose sum is σ = 8640. Its totient is φ = 704.

The previous prime is 2753. The next prime is 2767. The reversal of 2760 is 672.

2760 = T_{10} + T_{11} + ... +
T_{25}.

2760 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (2753) and next prime (2767).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 13.

It is a nialpdrome in base 8 and base 15.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 2760.

It is not an unprimeable number, because it can be changed into a prime (2767) by changing a digit.

2760 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 7 ways as a sum of consecutive naturals, for example, 109 + ... + 131.

It is an arithmetic number, because the mean of its divisors is an integer number (270).

2^{2760} is an apocalyptic number.

2760 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 2760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320).

2760 is an abundant number, since it is smaller than the sum of its proper divisors (5880).

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

2760 is a wasteful number, since it uses less digits than its factorization.

2760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 2760 is about 52.5357021463. The cubic root of 2760 is about 14.0271581670.

Adding to 2760 its sum of digits (15), we get a triangular number (2775 = T_{74}).

The spelling of 2760 in words is "two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760

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