2221713640000 has 70 divisors (see below), whose sum is σ = 5509127869454. Its totient is φ = 888685440000.

The previous prime is 2221713639989. The next prime is 2221713640009. The reversal of 2221713640000 is 463171222.

It can be written as a sum of positive squares in 5 ways, for example, as 1498411017216 + 723302622784 = 1224096^2 + 850472^2 .

It is a super-2 number, since 2×2221713640000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2221713640009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 27731421 + ... + 27811420.

Almost surely, 2^{2221713640000} is an apocalyptic number.

2221713640000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221713640000 is an abundant number, since it is smaller than the sum of its proper divisors (3287414229454).

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

2221713640000 is an frugal number, since it uses more digits than its factorization.

2221713640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55542873 (or 55542848 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 2221713640000 in words is "two trillion, two hundred twenty-one billion, seven hundred thirteen million, six hundred forty thousand".