2240509354272 has 288 divisors, whose sum is σ = 7726967119872. Its totient is φ = 625257771264.

The previous prime is 2240509354201. The next prime is 2240509354273. The reversal of 2240509354272 is 2724539050422.

2240509354272 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 509 + 35 + 42 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2240509354273) 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, 1861953 + ... + 2819199.

It is an arithmetic number, because the mean of its divisors is an integer number (26829746944).

Almost surely, 2^{2240509354272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240509354272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863483559936).

2240509354272 is an abundant number, since it is smaller than the sum of its proper divisors (5486457765600).

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

2240509354272 is an equidigital number, since it uses as much as digits as its factorization.

2240509354272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957322 (or 957302 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 2240509354272 in words is "two trillion, two hundred forty billion, five hundred nine million, three hundred fifty-four thousand, two hundred seventy-two".