2259828480 has 576 divisors, whose sum is σ = 9230376960. Its totient is φ = 458293248.

The previous prime is 2259828463. The next prime is 2259828481. The reversal of 2259828480 is 848289522.

It is a happy number.

It is a super-2 number, since 2×2259828480² = 10213649518038220800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259828481) 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 63 ways as a sum of consecutive naturals, for example, 10133649 + ... + 10133871.

It is an arithmetic number, because the mean of its divisors is an integer number (16024960).

Almost surely, 2^2259828480 is an apocalyptic number.

2259828480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615188480).

2259828480 is an abundant number, since it is smaller than the sum of its proper divisors (6970548480).

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

2259828480 is a wasteful number, since it uses less digits than its factorization.

2259828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 2259828480 is about 47537.6532866316. The cubic root of 2259828480 is about 1312.2759185704.

The spelling of 2259828480 in words is "two billion, two hundred fifty-nine million, eight hundred twenty-eight thousand, four hundred eighty".