2002 has 16 divisors (see below), whose sum is σ = 4032. Its totient is φ = 720.

The previous prime is 1999. The next prime is 2003.

It can be divided in two parts, 200 and 2, that multiplied together give a square (400 = 20^{2}).

2002 is nontrivially palindromic in base 10.

2002 is a nontrivial binomial coefficient, being equal to C(14, 5).

2002 is an admirable number.

It is a plaindrome in base 12.

It is a nialpdrome in base 13 and base 14.

It is a zygodrome in base 12.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 1982 and 2000.

It is not an unprimeable number, because it can be changed into a prime (2003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148 + ... + 160.

It is an arithmetic number, because the mean of its divisors is an integer number (252).

2^{2002} is an apocalyptic number.

2002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2002 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (2016).

2002 is a wasteful number, since it uses less digits than its factorization.

2002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33.

The product of its (nonzero) digits is 4, while the sum is 4.

The square root of 2002 is about 44.7437146424. The cubic root of 2002 is about 12.6034088366.

The spelling of 2002 in words is "two thousand, two", and thus it is an eban number and an iban number.

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