2259488000 has 432 divisors, whose sum is σ = 7197398208. Its totient is φ = 698880000.

The previous prime is 2259487987. The next prime is 2259488009. The reversal of 2259488000 is 8849522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259488009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17247935 + ... + 17248065.

It is an arithmetic number, because the mean of its divisors is an integer number (16660644).

Almost surely, 2^2259488000 is an apocalyptic number.

2259488000 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 2259488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598699104).

2259488000 is an abundant number, since it is smaller than the sum of its proper divisors (4937910208).

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

2259488000 is a wasteful number, since it uses less digits than its factorization.

2259488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 2259488000 is about 47534.0719905207. The cubic root of 2259488000 is about 1312.2100100070.

The spelling of 2259488000 in words is "two billion, two hundred fifty-nine million, four hundred eighty-eight thousand".