2221310002320 has 120 divisors (see below), whose sum is σ = 7525916509176. Its totient is φ = 587107282944.

The previous prime is 2221310002271. The next prime is 2221310002363. The reversal of 2221310002320 is 232000131222.

It can be written as a sum of positive squares in 4 ways, for example, as 95266057104 + 2126043945216 = 308652^2 + 1458096^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 2221310002293 and 2221310002302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13569759 + ... + 13732478.

Almost surely, 2^{2221310002320} is an apocalyptic number.

2221310002320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221310002320 is an abundant number, since it is smaller than the sum of its proper divisors (5304606506856).

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

2221310002320 is a wasteful number, since it uses less digits than its factorization.

2221310002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27302369 (or 27302360 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2221310002320 its reverse (232000131222), we get a palindrome (2453310133542).

The spelling of 2221310002320 in words is "two trillion, two hundred twenty-one billion, three hundred ten million, two thousand, three hundred twenty".