2744320246801 has 27 divisors (see below), whose sum is σ = 3391449044337. Its totient is φ = 2213746375680.

The previous prime is 2744320246799. The next prime is 2744320246819. The reversal of 2744320246801 is 1086420234472.

It is a happy number.

The square root of 2744320246801 is 1656599.

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

It can be written as a sum of positive squares in 4 ways, for example, as 394917980625 + 2349402266176 = 628425^2 + 1532776^2 .

It is not a de Polignac number, because 2744320246801 - 2¹ = 2744320246799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2744320246831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 197128321 + ... + 197142241.

Almost surely, 2^{2744320246801} is an apocalyptic number.

2744320246801 is the 1656599-th square number.

2744320246801 is the 828300-th centered octagonal number.

It is an amenable number.

2744320246801 is a deficient number, since it is larger than the sum of its proper divisors (647128797536).

2744320246801 is an frugal number, since it uses more digits than its factorization.

2744320246801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27890 (or 13945 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 43.

The spelling of 2744320246801 in words is "two trillion, seven hundred forty-four billion, three hundred twenty million, two hundred forty-six thousand, eight hundred one".