2718493856496 has 240 divisors, whose sum is σ = 8591505420960. Its totient is φ = 822387456000.

The previous prime is 2718493856471. The next prime is 2718493856503. The reversal of 2718493856496 is 6946583948172.

2718493856496 is a `hidden beast` number, since 2 + 7 + 1 + 84 + 9 + 3 + 8 + 56 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 30953446 + ... + 31041146.

It is an arithmetic number, because the mean of its divisors is an integer number (35797939254).

Almost surely, 2^{2718493856496} 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 2718493856496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295752710480).

2718493856496 is an abundant number, since it is smaller than the sum of its proper divisors (5873011564464).

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

2718493856496 is a wasteful number, since it uses less digits than its factorization.

2718493856496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88333 (or 88310 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 2718493856496 in words is "two trillion, seven hundred eighteen billion, four hundred ninety-three million, eight hundred fifty-six thousand, four hundred ninety-six".