2730134945344 has 63 divisors (see below), whose sum is σ = 5496880241041. Its totient is φ = 1345378522880.

The previous prime is 2730134945333. The next prime is 2730134945381. The reversal of 2730134945344 is 4435494310372.

The square root of 2730134945344 is 1652312.

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

2730134945344 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 only one way, i.e., 2367634618944 + 362500326400 = 1538712^2 + 602080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 938511762 + ... + 938514670.

Almost surely, 2^{2730134945344} is an apocalyptic number.

2730134945344 is the 1652312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2730134945344

2730134945344 is an abundant number, since it is smaller than the sum of its proper divisors (2766745295697).

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

2730134945344 is an frugal number, since it uses more digits than its factorization.

2730134945344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5972 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 49.

Multiplying 2730134945344 by its sum of digits (49), we get a square (133776612321856 = 11566184²).

The spelling of 2730134945344 in words is "two trillion, seven hundred thirty billion, one hundred thirty-four million, nine hundred forty-five thousand, three hundred forty-four".