2259334816 has 48 divisors (see below), whose sum is σ = 4774316904. Its totient is φ = 1048633344.

The previous prime is 2259334801. The next prime is 2259334823. The reversal of 2259334816 is 6184339522.

It can be written as a sum of positive squares in 4 ways, for example, as 1900611216 + 358723600 = 43596^2 + 18940^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11266 + ... + 68158.

Almost surely, 2^2259334816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259334816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387158452).

2259334816 is an abundant number, since it is smaller than the sum of its proper divisors (2514982088).

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

2259334816 is a wasteful number, since it uses less digits than its factorization.

2259334816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56993 (or 56985 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

The square root of 2259334816 is about 47532.4606558508. The cubic root of 2259334816 is about 1312.1803551883.

The spelling of 2259334816 in words is "two billion, two hundred fifty-nine million, three hundred thirty-four thousand, eight hundred sixteen".