2240563410432 has 600 divisors, whose sum is σ = 6973399477440. Its totient is φ = 716029009920.

The previous prime is 2240563410427. The next prime is 2240563410439. The reversal of 2240563410432 is 2340143650422.

2240563410432 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 5 + 634 + 10 + 4 + 3 + 2 = 666.

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 (2240563410439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4677585169 + ... + 4677585647.

Almost surely, 2^{2240563410432} 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 2240563410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486699738720).

2240563410432 is an abundant number, since it is smaller than the sum of its proper divisors (4732836067008).

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

2240563410432 is an frugal number, since it uses more digits than its factorization.

2240563410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 2240563410432 in words is "two trillion, two hundred forty billion, five hundred sixty-three million, four hundred ten thousand, four hundred thirty-two".