2002224233000 has 64 divisors (see below), whose sum is σ = 4687658323920. Its totient is φ = 800470272000.

The previous prime is 2002224232961. The next prime is 2002224233011. The reversal of 2002224233000 is 3324222002.

It can be written as a sum of positive squares in 8 ways, for example, as 838876473604 + 1163347759396 = 915902^2 + 1078586^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1389680 + ... + 2436320.

Almost surely, 2^{2002224233000} is an apocalyptic number.

2002224233000 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 2002224233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343829161960).

2002224233000 is an abundant number, since it is smaller than the sum of its proper divisors (2685434090920).

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

2002224233000 is a wasteful number, since it uses less digits than its factorization.

2002224233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048575 (or 1048561 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 2002224233000 its reverse (3324222002), we get a palindrome (2005548455002).

The spelling of 2002224233000 in words is "two trillion, two billion, two hundred twenty-four million, two hundred thirty-three thousand".