2242922574321 has 81 divisors (see below), whose sum is σ = 3857182631211. Its totient is φ = 1254422426400.

The previous prime is 2242922574259. The next prime is 2242922574329. The reversal of 2242922574321 is 1234752292422.

The square root of 2242922574321 is 1497639.

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

2242922574321 is a `hidden beast` number, since 2 + 2 + 4 + 29 + 22 + 574 + 32 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 331793280225 + 1911129294096 = 576015^2 + 1382436^2 .

It is not a de Polignac number, because 2242922574321 - 2³⁵ = 2208562835953 is a prime.

It is a super-2 number, since 2×2242922574321² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2242922574329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 642485386 + ... + 642488876.

Almost surely, 2^{2242922574321} is an apocalyptic number.

2242922574321 is the 1497639-th square number.

2242922574321 is the 748820-th centered octagonal number.

It is an amenable number.

2242922574321 is a deficient number, since it is larger than the sum of its proper divisors (1614260056890).

2242922574321 is an equidigital number, since it uses as much as digits as its factorization.

2242922574321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036 (or 3518 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 2242922574321 in words is "two trillion, two hundred forty-two billion, nine hundred twenty-two million, five hundred seventy-four thousand, three hundred twenty-one".