2249609344 has 32 divisors (see below), whose sum is σ = 4636190700. Its totient is φ = 1086016512.

The previous prime is 2249609309. The next prime is 2249609359. The reversal of 2249609344 is 4439069422.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2246760000 + 2849344 = 47400^2 + 1688^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-4 number, since 4×2249609344⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2249609344.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 299307 + ... + 306730.

Almost surely, 2^2249609344 is an apocalyptic number.

It is an amenable number.

2249609344 is an abundant number, since it is smaller than the sum of its proper divisors (2386581356).

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

2249609344 is an equidigital number, since it uses as much as digits as its factorization.

2249609344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606080 (or 606068 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The square root of 2249609344 is about 47430.0468479634. The cubic root of 2249609344 is about 1310.2948550594.

The spelling of 2249609344 in words is "two billion, two hundred forty-nine million, six hundred nine thousand, three hundred forty-four".