2002022000 has 320 divisors, whose sum is σ = 5753524608. Its totient is φ = 665600000.

The previous prime is 2002021999. The next prime is 2002022023. The reversal of 2002022000 is 2202002.

2002022000 is digitally balanced in base 6, 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 (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19821950 + ... + 19822050.

Almost surely, 2^2002022000 is an apocalyptic number.

2002022000 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 2002022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876762304).

2002022000 is an abundant number, since it is smaller than the sum of its proper divisors (3751502608).

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

2002022000 is a wasteful number, since it uses less digits than its factorization.

2002022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2002022000 is about 44743.9604863047. The cubic root of 2002022000 is about 1260.3455002810.

Adding to 2002022000 its reverse (2202002), we get a palindrome (2004224002).

It can be divided in two parts, 200202 and 2000, that added together give a palindrome (202202).

The spelling of 2002022000 in words is "two billion, two million, twenty-two thousand".