2731612718016 has 672 divisors, whose sum is σ = 9956935249920. Its totient is φ = 719047839744.

The previous prime is 2731612717943. The next prime is 2731612718039. The reversal of 2731612718016 is 6108172161372.

2731612718016 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 612 + 7 + 18 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1498415281 + ... + 1498417103.

Almost surely, 2^{2731612718016} is an apocalyptic number.

2731612718016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2731612718016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978467624960).

2731612718016 is an abundant number, since it is smaller than the sum of its proper divisors (7225322531904).

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

2731612718016 is a wasteful number, since it uses less digits than its factorization.

2731612718016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

Adding to 2731612718016 its reverse (6108172161372), we get a palindrome (8839784879388).

The spelling of 2731612718016 in words is "two trillion, seven hundred thirty-one billion, six hundred twelve million, seven hundred eighteen thousand, sixteen".