2713992126720 has 2304 divisors, whose sum is σ = 11424569425920. Its totient is φ = 535088332800.

The previous prime is 2713992126707. The next prime is 2713992126763. The reversal of 2713992126720 is 276212993172.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24017629384 + ... + 24017629496.

It is an arithmetic number, because the mean of its divisors is an integer number (4958580480).

Almost surely, 2^{2713992126720} is an apocalyptic number.

2713992126720 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 2713992126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712284712960).

2713992126720 is an abundant number, since it is smaller than the sum of its proper divisors (8710577299200).

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

2713992126720 is a wasteful number, since it uses less digits than its factorization.

2713992126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 2713992126720 in words is "two trillion, seven hundred thirteen billion, nine hundred ninety-two million, one hundred twenty-six thousand, seven hundred twenty".