2747135996496 has 400 divisors, whose sum is σ = 8674251897168. Its totient is φ = 836075520000.

The previous prime is 2747135996483. The next prime is 2747135996497. The reversal of 2747135996496 is 6946995317472.

2747135996496 is a `hidden beast` number, since 2 + 7 + 47 + 1 + 3 + 5 + 9 + 96 + 496 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1699088400 + 2745436908096 = 41220^2 + 1656936^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2747135996497) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98094496 + ... + 98122496.

Almost surely, 2^{2747135996496} 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 2747135996496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337125948584).

2747135996496 is an abundant number, since it is smaller than the sum of its proper divisors (5927115900672).

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

2747135996496 is a wasteful number, since it uses less digits than its factorization.

2747135996496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28172 (or 28157 counting only the distinct ones).

The product of its digits is 617258880, while the sum is 72.

The spelling of 2747135996496 in words is "two trillion, seven hundred forty-seven billion, one hundred thirty-five million, nine hundred ninety-six thousand, four hundred ninety-six".