2002232002320 has 180 divisors, whose sum is σ = 7391021884428. Its totient is φ = 485389555200.

The previous prime is 2002232002283. The next prime is 2002232002333. The reversal of 2002232002320 is 232002322002.

2002232002320 is a `hidden beast` number, since 2 + 0 + 0 + 22 + 320 + 0 + 2 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1600113681936 + 402118320384 = 1264956^2 + 634128^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×2002232002320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2002232002293 and 2002232002302.

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 35 ways as a sum of consecutive naturals, for example, 11404111 + ... + 11578350.

Almost surely, 2^{2002232002320} is an apocalyptic number.

2002232002320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002232002320 is an abundant number, since it is smaller than the sum of its proper divisors (5388789882108).

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

2002232002320 is a wasteful number, since it uses less digits than its factorization.

2002232002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22982502 (or 22982482 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 2002232002320 its reverse (232002322002), we get a palindrome (2234234324322).

The spelling of 2002232002320 in words is "two trillion, two billion, two hundred thirty-two million, two thousand, three hundred twenty".