2731120740000 has 1440 divisors, whose sum is σ = 10723583654784. Its totient is φ = 682007040000.

The previous prime is 2731120739891. The next prime is 2731120740001. The reversal of 2731120740000 is 470211372.

It is a happy number.

2731120740000 is a `hidden beast` number, since 27 + 31 + 1 + 207 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2731120740001) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 5924339770 + ... + 5924340230.

Almost surely, 2^{2731120740000} is an apocalyptic number.

2731120740000 is a gapful number since it is divisible by the number (20) 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 2731120740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361791827392).

2731120740000 is an abundant number, since it is smaller than the sum of its proper divisors (7992462914784).

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

2731120740000 is an equidigital number, since it uses as much as digits as its factorization.

2731120740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 2731120740000 its reverse (470211372), we get a palindrome (2731590951372).

The spelling of 2731120740000 in words is "two trillion, seven hundred thirty-one billion, one hundred twenty million, seven hundred forty thousand".