2731283411616 has 144 divisors (see below), whose sum is σ = 8035309370088. Its totient is φ = 879427584000.

The previous prime is 2731283411573. The next prime is 2731283411621. The reversal of 2731283411616 is 6161143821372.

2731283411616 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 28 + 3 + 4 + 1 + 1 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2725867040400 + 5416371216 = 1651020^2 + 73596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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, 47520 + ... + 2337696.

Almost surely, 2^{2731283411616} 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 2731283411616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017654685044).

2731283411616 is an abundant number, since it is smaller than the sum of its proper divisors (5304025958472).

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

2731283411616 is a wasteful number, since it uses less digits than its factorization.

2731283411616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290335 (or 2290324 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 2731283411616 in words is "two trillion, seven hundred thirty-one billion, two hundred eighty-three million, four hundred eleven thousand, six hundred sixteen".