2716876800000 has 1296 divisors, whose sum is σ = 10861855359264. Its totient is φ = 648806400000.

The previous prime is 2716876799993. The next prime is 2716876800017. The reversal of 2716876800000 is 86786172.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40550399967 + ... + 40550400033.

It is an arithmetic number, because the mean of its divisors is an integer number (8381061234).

Almost surely, 2^{2716876800000} is an apocalyptic number.

2716876800000 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 2716876800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5430927679632).

2716876800000 is an abundant number, since it is smaller than the sum of its proper divisors (8144978559264).

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

2716876800000 is an frugal number, since it uses more digits than its factorization.

2716876800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 2716876800000 in words is "two trillion, seven hundred sixteen billion, eight hundred seventy-six million, eight hundred thousand".