2738442470976 has 315 divisors, whose sum is σ = 8328922787003. Its totient is φ = 860243708160.

The previous prime is 2738442470947. The next prime is 2738442470999. The reversal of 2738442470976 is 6790742448372.

The square root of 2738442470976 is 1654824.

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

2738442470976 is a `hidden beast` number, since 2 + 7 + 38 + 4 + 42 + 470 + 97 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14337395041 + ... + 14337395231.

Almost surely, 2^{2738442470976} is an apocalyptic number.

2738442470976 is the 1654824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2738442470976

2738442470976 is an abundant number, since it is smaller than the sum of its proper divisors (5590480316027).

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

2738442470976 is an frugal number, since it uses more digits than its factorization.

2738442470976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 2738442470976 in words is "two trillion, seven hundred thirty-eight billion, four hundred forty-two million, four hundred seventy thousand, nine hundred seventy-six".