2002033233220 has 48 divisors (see below), whose sum is σ = 4247877534768. Its totient is φ = 792514457600.

The previous prime is 2002033233217. The next prime is 2002033233251. The reversal of 2002033233220 is 223323302002.

It can be written as a sum of positive squares in 8 ways, for example, as 208571236416 + 1793461996804 = 456696^2 + 1339202^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2002033233191 and 2002033233200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4118892 + ... + 4579228.

It is an arithmetic number, because the mean of its divisors is an integer number (88497448641).

Almost surely, 2^{2002033233220} is an apocalyptic number.

2002033233220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002033233220 is an abundant number, since it is smaller than the sum of its proper divisors (2245844301548).

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

2002033233220 is a wasteful number, since it uses less digits than its factorization.

2002033233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462600 (or 462598 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

Adding to 2002033233220 its reverse (223323302002), we get a palindrome (2225356535222).

The spelling of 2002033233220 in words is "two trillion, two billion, thirty-three million, two hundred thirty-three thousand, two hundred twenty".