2002000 has 160 divisors (see below), whose sum is σ = 6499584. Its totient is φ = 576000.

The previous prime is 2001997. The next prime is 2002001. The reversal of 2002000 is 2002.

It is a Harshad number since it is a multiple of its sum of digits (4).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153994 + ... + 154006.

2^2002000 is an apocalyptic number.

2002000 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 2002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249792).

2002000 is an abundant number, since it is smaller than the sum of its proper divisors (4497584).

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

2002000 is a wasteful number, since it uses less digits than its factorization.

2002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 38 counting only the distinct ones).

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

The square root of 2002000 is about 1414.9204924659. The cubic root of 2002000 is about 126.0340883665.

Adding to 2002000 its reverse (2002), we get a palindrome (2004002).

2002000 divided by its reverse (2002) gives a cube (1000 = 10³).

The spelling of 2002000 in words is "two million, two thousand", and thus it is an eban number.