2620 has 12 divisors (see below), whose sum is σ = 5544. Its totient is φ = 1040.

The previous prime is 2617. The next prime is 2621. The reversal of 2620 is 262.

It is a happy number.

2620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

Together with 2924 it forms an amicable pair .

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 2597 and 2606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46 + ... + 85.

It is an arithmetic number, because the mean of its divisors is an integer number (462).

2²⁶²⁰ is an apocalyptic number.

2620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2620 is an abundant number, since it is smaller than the sum of its proper divisors (2924).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772).

2620 is a wasteful number, since it uses less digits than its factorization.

2620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2620 is about 51.1859355683. The cubic root of 2620 is about 13.7858568256.

2620 divided by its sum of digits (10) gives a palindrome (262).

Adding to 2620 its reverse (262), we get a palindrome (2882).

The spelling of 2620 in words is "two thousand, six hundred twenty".