2242164961 has 8 divisors (see below), whose sum is σ = 2306315304. Its totient is φ = 2178201600.

The previous prime is 2242164929. The next prime is 2242164971. The reversal of 2242164961 is 1694612422.

It can be written as a sum of positive squares in 4 ways, for example, as 756525025 + 1485639936 = 27505^2 + 38544^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2242164961 - 2⁵ = 2242164929 is a prime.

It is a super-2 number, since 2×2242164961² = 10054607424672263042, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2242164961.

It is not an unprimeable number, because it can be changed into a prime (2242164971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22240 + ... + 70561.

It is an arithmetic number, because the mean of its divisors is an integer number (288289413).

Almost surely, 2^2242164961 is an apocalyptic number.

It is an amenable number.

2242164961 is a deficient number, since it is larger than the sum of its proper divisors (64150343).

2242164961 is an equidigital number, since it uses as much as digits as its factorization.

2242164961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93491.

The product of its digits is 41472, while the sum is 37.

The square root of 2242164961 is about 47351.5043161250. The cubic root of 2242164961 is about 1308.8479199514.

The spelling of 2242164961 in words is "two billion, two hundred forty-two million, one hundred sixty-four thousand, nine hundred sixty-one".