2493544177216 has 105 divisors (see below), whose sum is σ = 5265089697511. Its totient is φ = 1171714497536.

The previous prime is 2493544177169. The next prime is 2493544177219. The reversal of 2493544177216 is 6127714453942.

The square root of 2493544177216 is 1579096.

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

It can be written as a sum of positive squares in 2 ways, for example, as 773879127616 + 1719665049600 = 879704^2 + 1311360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2493544177219) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3650869611 + ... + 3650870293.

Almost surely, 2^{2493544177216} is an apocalyptic number.

2493544177216 is the 1579096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2493544177216

2493544177216 is an abundant number, since it is smaller than the sum of its proper divisors (2771545520295).

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

2493544177216 is an frugal number, since it uses more digits than its factorization.

2493544177216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 702 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 55.

The spelling of 2493544177216 in words is "two trillion, four hundred ninety-three billion, five hundred forty-four million, one hundred seventy-seven thousand, two hundred sixteen".