2288243520 has 392 divisors, whose sum is σ = 8665137864. Its totient is φ = 573308928.

The previous prime is 2288243509. The next prime is 2288243569. The reversal of 2288243520 is 253428822.

2288243520 is a `hidden beast` number, since 2 + 288 + 24 + 352 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1224440064 + 1063803456 = 34992^2 + 32616^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3965472 + ... + 3966048.

Almost surely, 2^2288243520 is an apocalyptic number.

2288243520 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 2288243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332568932).

2288243520 is an abundant number, since it is smaller than the sum of its proper divisors (6376894344).

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

2288243520 is an equidigital number, since it uses as much as digits as its factorization.

2288243520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 604 counting only the distinct ones).

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

The square root of 2288243520 is about 47835.5884253554. The cubic root of 2288243520 is about 1317.7532026463.

The spelling of 2288243520 in words is "two billion, two hundred eighty-eight million, two hundred forty-three thousand, five hundred twenty".