2288424960 has 480 divisors, whose sum is σ = 8562153600. Its totient is φ = 583925760.

The previous prime is 2288424959. The next prime is 2288424979. The reversal of 2288424960 is 694248822.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25712596 + ... + 25712684.

It is an arithmetic number, because the mean of its divisors is an integer number (17837820).

Almost surely, 2^2288424960 is an apocalyptic number.

2288424960 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 2288424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281076800).

2288424960 is an abundant number, since it is smaller than the sum of its proper divisors (6273728640).

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

2288424960 is an equidigital number, since it uses as much as digits as its factorization.

2288424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2288424960 is about 47837.4848837185. The cubic root of 2288424960 is about 1317.7880309356.

The spelling of 2288424960 in words is "two billion, two hundred eighty-eight million, four hundred twenty-four thousand, nine hundred sixty".