2731446004014 has 96 divisors (see below), whose sum is σ = 7288645238784. Its totient is φ = 719907704640.

The previous prime is 2731446003983. The next prime is 2731446004043. The reversal of 2731446004014 is 4104006441372.

2731446004014 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 4 + 4 + 600 + 40 + 1 + 4 = 666.

It is a super-2 number, since 2×2731446004014² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2731446004014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1947219 + ... + 3042129.

It is an arithmetic number, because the mean of its divisors is an integer number (75923387904).

Almost surely, 2^{2731446004014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2731446004014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644322619392).

2731446004014 is an abundant number, since it is smaller than the sum of its proper divisors (4557199234770).

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

2731446004014 is a wasteful number, since it uses less digits than its factorization.

2731446004014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096462 (or 1096459 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 2731446004014 in words is "two trillion, seven hundred thirty-one billion, four hundred forty-six million, four thousand, fourteen".