2240316288 has 384 divisors, whose sum is σ = 7882168320. Its totient is φ = 596901888.

The previous prime is 2240316263. The next prime is 2240316289. The reversal of 2240316288 is 8826130422.

2240316288 is a `hidden beast` number, since 2 + 24 + 0 + 3 + 1 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240316289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8717056 + ... + 8717312.

It is an arithmetic number, because the mean of its divisors is an integer number (20526480).

Almost surely, 2^2240316288 is an apocalyptic number.

2240316288 is a gapful number since it is divisible by the number (28) 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 2240316288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941084160).

2240316288 is an abundant number, since it is smaller than the sum of its proper divisors (5641852032).

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

2240316288 is a wasteful number, since it uses less digits than its factorization.

2240316288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2240316288 is about 47331.9795487153. The cubic root of 2240316288 is about 1308.4881044522.

The spelling of 2240316288 in words is "two billion, two hundred forty million, three hundred sixteen thousand, two hundred eighty-eight".