2242712909761 has 9 divisors (see below), whose sum is σ = 2270184917889. Its totient is φ = 2215569471636.

The previous prime is 2242712909713. The next prime is 2242712909771. The reversal of 2242712909761 is 1679092172422.

The square root of 2242712909761 is 1497569.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 2242712909761 - 2¹⁷ = 2242712778689 is a prime.

It is a super-2 number, since 2×2242712909761² (a number of 26 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 = 2242712909699 and 2242712909708.

It is not an unprimeable number, because it can be changed into a prime (2242712909771) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 124289206 + ... + 124307248.

Almost surely, 2^{2242712909761} is an apocalyptic number.

2242712909761 is the 1497569-th square number.

2242712909761 is the 748785-th centered octagonal number.

It is an amenable number.

2242712909761 is a deficient number, since it is larger than the sum of its proper divisors (27472008128).

2242712909761 is an frugal number, since it uses more digits than its factorization.

2242712909761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36252 (or 18126 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 2242712909761 in words is "two trillion, two hundred forty-two billion, seven hundred twelve million, nine hundred nine thousand, seven hundred sixty-one".