3002022000 has 560 divisors, whose sum is σ = 11417215680. Its totient is φ = 762048000.

The previous prime is 3002021987. The next prime is 3002022007. The reversal of 3002022000 is 2202003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002022007) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 42281965 + ... + 42282035.

Almost surely, 2^3002022000 is an apocalyptic number.

3002022000 is a gapful number since it is divisible by the number (30) 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 3002022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708607840).

3002022000 is an abundant number, since it is smaller than the sum of its proper divisors (8415193680).

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

3002022000 is an equidigital number, since it uses as much as digits as its factorization.

3002022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 110 counting only the distinct ones).

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

The square root of 3002022000 is about 54790.7108915371. The cubic root of 3002022000 is about 1442.5735229404.

Adding to 3002022000 its reverse (2202003), we get a palindrome (3004224003).

The spelling of 3002022000 in words is "three billion, two million, twenty-two thousand".