2730663710784 has 315 divisors, whose sum is σ = 8255285339917. Its totient is φ = 892493517312.

The previous prime is 2730663710737. The next prime is 2730663710791. The reversal of 2730663710784 is 4870173660372.

The square root of 2730663710784 is 1652472.

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

It can be written as a sum of positive squares in only one way, i.e., 644603448384 + 2086060262400 = 802872^2 + 1444320^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2730663710784.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7019700862 + ... + 7019701250.

Almost surely, 2^{2730663710784} is an apocalyptic number.

2730663710784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2730663710784 is the 1652472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2730663710784

2730663710784 is an abundant number, since it is smaller than the sum of its proper divisors (5524621629133).

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

2730663710784 is an frugal number, since it uses more digits than its factorization.

2730663710784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 2730663710784 in words is "two trillion, seven hundred thirty billion, six hundred sixty-three million, seven hundred ten thousand, seven hundred eighty-four".