2259915456 has 56 divisors (see below), whose sum is σ = 6016126144. Its totient is φ = 748673280.

The previous prime is 2259915433. The next prime is 2259915457. The reversal of 2259915456 is 6545199522.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2259915457) by changing a digit.

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, 4810 + ... + 67401.

It is an arithmetic number, because the mean of its divisors is an integer number (107430824).

Almost surely, 2^2259915456 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 2259915456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008063072).

2259915456 is an abundant number, since it is smaller than the sum of its proper divisors (3756210688).

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

2259915456 is a wasteful number, since it uses less digits than its factorization.

2259915456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72389 (or 72379 counting only the distinct ones).

The product of its digits is 972000, while the sum is 48.

The square root of 2259915456 is about 47538.5680894997. The cubic root of 2259915456 is about 1312.2927539257.

The spelling of 2259915456 in words is "two billion, two hundred fifty-nine million, nine hundred fifteen thousand, four hundred fifty-six".