2672937247744 has 99 divisors (see below), whose sum is σ = 5641387872777. Its totient is φ = 1265657315328.

The previous prime is 2672937247741. The next prime is 2672937247789. The reversal of 2672937247744 is 4477427392762.

The square root of 2672937247744 is 1634912.

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., 96527033344 + 2576410214400 = 310688^2 + 1605120^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2672937247741) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 994025152 + ... + 994027840.

Almost surely, 2^{2672937247744} is an apocalyptic number.

2672937247744 is the 1634912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2672937247744

2672937247744 is an abundant number, since it is smaller than the sum of its proper divisors (2968450625033).

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

2672937247744 is an frugal number, since it uses more digits than its factorization.

2672937247744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436 (or 2710 counting only the distinct ones).

The product of its digits is 199148544, while the sum is 64.

Multiplying 2672937247744 by its sum of digits (64), we get a square (171067983855616 = 13079296²).

2672937247744 divided by its sum of digits (64) gives a square (41764644496 = 204364²).

It can be divided in two parts, 2672937 and 247744, that added together give a square (2920681 = 1709²).

The spelling of 2672937247744 in words is "two trillion, six hundred seventy-two billion, nine hundred thirty-seven million, two hundred forty-seven thousand, seven hundred forty-four".