2251884385 has 8 divisors (see below), whose sum is σ = 2729016936. Its totient is φ = 1783670400.

The previous prime is 2251884377. The next prime is 2251884407. The reversal of 2251884385 is 5834881522.

It can be written as a sum of positive squares in 4 ways, for example, as 514745344 + 1737139041 = 22688^2 + 41679^2 .

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

It is not a de Polignac number, because 2251884385 - 2³ = 2251884377 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2229084 + ... + 2230093.

It is an arithmetic number, because the mean of its divisors is an integer number (341127117).

Almost surely, 2^2251884385 is an apocalyptic number.

It is an amenable number.

2251884385 is a deficient number, since it is larger than the sum of its proper divisors (477132551).

2251884385 is a wasteful number, since it uses less digits than its factorization.

2251884385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459283.

The product of its digits is 614400, while the sum is 46.

The square root of 2251884385 is about 47454.0239073569. The cubic root of 2251884385 is about 1310.7364087893.

The spelling of 2251884385 in words is "two billion, two hundred fifty-one million, eight hundred eighty-four thousand, three hundred eighty-five".