2718673345600 has 63 divisors (see below), whose sum is σ = 6689797892031. Its totient is φ = 1087442956800.

The previous prime is 2718673345579. The next prime is 2718673345607. The reversal of 2718673345600 is 65433768172.

The square root of 2718673345600 is 1648840.

It is a perfect power (a square), and thus also a powerful number.

2718673345600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 655750126656 + 2062923218944 = 809784^2 + 1436288^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2718673345607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65932990 + ... + 65974210.

Almost surely, 2^{2718673345600} is an apocalyptic number.

2718673345600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2718673345600 is the 1648840-th square number.

It is an amenable number.

2718673345600 is an abundant number, since it is smaller than the sum of its proper divisors (3971124546431).

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

2718673345600 is an frugal number, since it uses more digits than its factorization.

2718673345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82464 (or 41228 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 2718673345600 in words is "two trillion, seven hundred eighteen billion, six hundred seventy-three million, three hundred forty-five thousand, six hundred".