2384225280 has 220 divisors, whose sum is σ = 8545201500. Its totient is φ = 635682816.

The previous prime is 2384225273. The next prime is 2384225281. The reversal of 2384225280 is 825224832.

It can be written as a sum of positive squares in 2 ways, for example, as 339738624 + 2044486656 = 18432^2 + 45216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2384225281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 411846 + ... + 417594.

It is an arithmetic number, because the mean of its divisors is an integer number (38841825).

Almost surely, 2^2384225280 is an apocalyptic number.

2384225280 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 2384225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272600750).

2384225280 is an abundant number, since it is smaller than the sum of its proper divisors (6160976220).

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

2384225280 is an equidigital number, since it uses as much as digits as its factorization.

2384225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5786 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2384225280 is about 48828.5293655256. The cubic root of 2384225280 is about 1335.9260838544.

The spelling of 2384225280 in words is "two billion, three hundred eighty-four million, two hundred twenty-five thousand, two hundred eighty".