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2520 = 233257
BaseRepresentation
bin100111011000
310110100
4213120
540040
615400
710230
oct4730
93410
102520
111991
121560
1311bb
14cc0
15b30
hex9d8

2520 has 48 divisors (see below), whose sum is σ = 9360. Its totient is φ = 576.

The previous prime is 2503. The next prime is 2521. The reversal of 2520 is 252.

Subtracting from 2520 its product of nonzero digits (20), we obtain a square (2500 = 502).

Adding to 2520 its reverse (252), we get a palindrome (2772).

It can be divided in two parts, 25 and 20, that added together give a triangular number (45 = T9).

2520 = T21 + T22 + ... + T28.

2520 is nontrivially palindromic in base 11.

2520 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 (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 13.

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (195).

2520 is a highly composite number, because it has more divisors than any smaller number.

2520 is a superabundant number, because it has a larger abundancy index than any smaller number.

2520 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 2520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680).

2520 is an abundant number, since it is smaller than the sum of its proper divisors (6840).

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

2520 is a wasteful number, since it uses less digits than its factorization.

2520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 2520 is about 50.1996015920. The cubic root of 2520 is about 13.6081842319.

The spelling of 2520 in words is "two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520