2259451368 has 256 divisors, whose sum is σ = 7166361600. Its totient is φ = 655395840.

The previous prime is 2259451349. The next prime is 2259451409. The reversal of 2259451368 is 8631549522.

2259451368 is a `hidden beast` number, since 2 + 2 + 594 + 51 + 3 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2617705 + ... + 2618567.

It is an arithmetic number, because the mean of its divisors is an integer number (27993600).

Almost surely, 2^2259451368 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 2259451368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583180800).

2259451368 is an abundant number, since it is smaller than the sum of its proper divisors (4906910232).

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

2259451368 is a wasteful number, since it uses less digits than its factorization.

2259451368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 939 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 2259451368 is about 47533.6866653534. The cubic root of 2259451368 is about 1312.2029185573.

The spelling of 2259451368 in words is "two billion, two hundred fifty-nine million, four hundred fifty-one thousand, three hundred sixty-eight".