2000 has 20 divisors (see below), whose sum is σ = 4836. Its totient is φ = 800.

The previous prime is 1999. The next prime is 2003. The reversal of 2000 is 2.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2000 is nontrivially palindromic in base 7, base 9 and base 13.

2000 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 64 + 1936 = 8^2 + 44^2 .

It is a sliding number, since 2000 = 1000 + 1000 and 1/1000 + 1/1000 = 0.002000.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (2).

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

2000 is an undulating number in base 13.

2000 is a nontrivial repdigit in base 7.

It is a plaindrome in base 7 and base 11.

It is a nialpdrome in base 5, base 7 and base 10.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003) 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, 398 + ... + 402.

2^{2000} is an apocalyptic number.

2000 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 2000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418).

2000 is an abundant number, since it is smaller than the sum of its proper divisors (2836).

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

2000 is an equidigital number, since it uses as much as digits as its factorization.

2000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 2.

The square root of 2000 is about 44.7213595500. The cubic root of 2000 is about 12.5992104989.

The spelling of 2000 in words is "two thousand", and thus it is an eban number and an iban number.

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