2010 has 16 divisors (see below), whose sum is σ = 4896. Its totient is φ = 528.
The previous prime is 2003. The next prime is 2011. The reversal of 2010 is 102.
It is a Harshad number since it is a multiple of its sum of digits (3).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an Ulam number.
It is a Curzon number.
It is a plaindrome in base 11.
It is a nialpdrome in base 13.
It is a junction number, because it is equal to n+sod(n) for n = 1986 and 2004.
It is not an unprimeable number, because it can be changed into a prime (2011) by changing a digit.
2010 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 63.
It is an arithmetic number, because the mean of its divisors is an integer number (306).
It is a practical number, because each smaller number is the sum of distinct divisors of 2010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448).
2010 is an abundant number, since it is smaller than the sum of its proper divisors (2886).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2010 is a wasteful number, since it uses less digits than its factorization.
2010 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 77.
The product of its (nonzero) digits is 2, while the sum is 3.
The square root of 2010 is about 44.8330235429. The cubic root of 2010 is about 12.6201742822.
Adding to 2010 its reverse (102), we get a palindrome (2112).
The spelling of 2010 in words is "two thousand, ten", and thus it is an iban number.
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