2240727155712 has 704 divisors, whose sum is σ = 7073174323200. Its totient is φ = 699675770880.

The previous prime is 2240727155701. The next prime is 2240727155729. The reversal of 2240727155712 is 2175517270422.

2240727155712 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 7 + 2 + 71 + 5 + 571 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3691477713 + ... + 3691478319.

Almost surely, 2^{2240727155712} 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 2240727155712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3536587161600).

2240727155712 is an abundant number, since it is smaller than the sum of its proper divisors (4832447167488).

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

2240727155712 is a wasteful number, since it uses less digits than its factorization.

2240727155712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 2240727155712 in words is "two trillion, two hundred forty billion, seven hundred twenty-seven million, one hundred fifty-five thousand, seven hundred twelve".