2731566400722 has 48 divisors (see below), whose sum is σ = 5931028467000. Its totient is φ = 908579561472.

The previous prime is 2731566400691. The next prime is 2731566400723. The reversal of 2731566400722 is 2270046651372.

2731566400722 is a `hidden beast` number, since 2 + 73 + 156 + 6 + 400 + 7 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2056932508401 + 674633892321 = 1434201^2 + 821361^2 .

It is a super-2 number, since 2×2731566400722² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2731566400723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27901554 + ... + 27999282.

Almost surely, 2^{2731566400722} is an apocalyptic number.

2731566400722 is an abundant number, since it is smaller than the sum of its proper divisors (3199462066278).

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

2731566400722 is a wasteful number, since it uses less digits than its factorization.

2731566400722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101035 (or 101032 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 2731566400722 in words is "two trillion, seven hundred thirty-one billion, five hundred sixty-six million, four hundred thousand, seven hundred twenty-two".