2600 has 24 divisors (see below), whose sum is σ = 6510. Its totient is φ = 960.

The previous prime is 2593. The next prime is 2609. The reversal of 2600 is 62.

2600 = T₁ + T₂ + ... + T₂₄.

It is a Cunningham number, because it is equal to 51²-1.

2600 is a nontrivial binomial coefficient, being equal to C(26, 3).

It can be written as a sum of positive squares in 3 ways, for example, as 1444 + 1156 = 38^2 + 34^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

2600 is an undulating number in base 8.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2609) by changing a digit.

2600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 24-th tetrahedral number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 194 + ... + 206.

2600 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 2600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255).

2600 is an abundant number, since it is smaller than the sum of its proper divisors (3910).

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

2600 is a wasteful number, since it uses less digits than its factorization.

With its successor (2601) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (20).

2600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2600 is about 50.9901951359. The cubic root of 2600 is about 13.7506886707.

Adding to 2600 its reverse (62), we get a palindrome (2662).

The spelling of 2600 in words is "two thousand, six hundred".