2240513263872 has 576 divisors, whose sum is σ = 7326776540160. Its totient is φ = 671046598656.

The previous prime is 2240513263867. The next prime is 2240513263873. The reversal of 2240513263872 is 2783623150422.

2240513263872 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 5 + 1 + 3 + 2 + 638 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (2240513263873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 831975358 + ... + 831978050.

It is an arithmetic number, because the mean of its divisors is an integer number (12720098160).

Almost surely, 2^{2240513263872} 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 2240513263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3663388270080).

2240513263872 is an abundant number, since it is smaller than the sum of its proper divisors (5086263276288).

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

2240513263872 is a wasteful number, since it uses less digits than its factorization.

2240513263872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2240513263872 in words is "two trillion, two hundred forty billion, five hundred thirteen million, two hundred sixty-three thousand, eight hundred seventy-two".