2227042588961 has 16 divisors (see below), whose sum is σ = 2396973525840. Its totient is φ = 2061444833280.

The previous prime is 2227042588949. The next prime is 2227042589003. The reversal of 2227042588961 is 1698852407222.

It can be written as a sum of positive squares in 8 ways, for example, as 643268161600 + 1583774427361 = 802040^2 + 1258481^2 .

It is a cyclic number.

It is not a de Polignac number, because 2227042588961 - 2¹⁴ = 2227042572577 is a prime.

It is a super-2 number, since 2×2227042588961² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2227042588897 and 2227042588906.

It is not an unprimeable number, because it can be changed into a prime (2227042548961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9378545 + ... + 9613073.

It is an arithmetic number, because the mean of its divisors is an integer number (149810845365).

Almost surely, 2^{2227042588961} is an apocalyptic number.

It is an amenable number.

2227042588961 is a deficient number, since it is larger than the sum of its proper divisors (169930936879).

2227042588961 is a wasteful number, since it uses less digits than its factorization.

2227042588961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243764.

The product of its (nonzero) digits is 7741440, while the sum is 56.

The spelling of 2227042588961 in words is "two trillion, two hundred twenty-seven billion, forty-two million, five hundred eighty-eight thousand, nine hundred sixty-one".