2289063456 has 288 divisors, whose sum is σ = 7258507200. Its totient is φ = 701291520.

The previous prime is 2289063449. The next prime is 2289063463. The reversal of 2289063456 is 6543609822.

2289063456 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 0 + 634 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2289063449) and next prime (2289063463).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12787975 + ... + 12788153.

It is an arithmetic number, because the mean of its divisors is an integer number (25203150).

Almost surely, 2^2289063456 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 2289063456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629253600).

2289063456 is an abundant number, since it is smaller than the sum of its proper divisors (4969443744).

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

2289063456 is a wasteful number, since it uses less digits than its factorization.

2289063456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2289063456 is about 47844.1580132831. The cubic root of 2289063456 is about 1317.9105787082.

The spelling of 2289063456 in words is "two billion, two hundred eighty-nine million, sixty-three thousand, four hundred fifty-six".