2003022000 has 480 divisors, whose sum is σ = 8357768640. Its totient is φ = 457228800.

The previous prime is 2003021981. The next prime is 2003022019. The reversal of 2003022000 is 2203002.

It is an interprime number because it is at equal distance from previous prime (2003021981) and next prime (2003022019).

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2645622 + ... + 2646378.

It is an arithmetic number, because the mean of its divisors is an integer number (17412018).

Almost surely, 2^2003022000 is an apocalyptic number.

2003022000 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 2003022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178884320).

2003022000 is an abundant number, since it is smaller than the sum of its proper divisors (6354746640).

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

2003022000 is a wasteful number, since it uses less digits than its factorization.

2003022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2003022000 is about 44755.1337837348. The cubic root of 2003022000 is about 1260.5553107815. Note that the first 3 decimals are identical.

Adding to 2003022000 its reverse (2203002), we get a palindrome (2005225002).

The spelling of 2003022000 in words is "two billion, three million, twenty-two thousand".