2221264274304 has 64 divisors (see below), whose sum is σ = 6210771840000. Its totient is φ = 701451873792.

The previous prime is 2221264274297. The next prime is 2221264274321. The reversal of 2221264274304 is 4034724621222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152217504 + ... + 152232095.

It is an arithmetic number, because the mean of its divisors is an integer number (97043310000).

Almost surely, 2^{2221264274304} is an apocalyptic number.

2221264274304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2221264274304 is an abundant number, since it is smaller than the sum of its proper divisors (3989507565696).

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

2221264274304 is a wasteful number, since it uses less digits than its factorization.

2221264274304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304449635 (or 304449623 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

Adding to 2221264274304 its reverse (4034724621222), we get a palindrome (6255988895526).

The spelling of 2221264274304 in words is "two trillion, two hundred twenty-one billion, two hundred sixty-four million, two hundred seventy-four thousand, three hundred four".