2493847372864 has 63 divisors (see below), whose sum is σ = 4997305499781. Its totient is φ = 1234801808640.

The previous prime is 2493847372859. The next prime is 2493847372889. The reversal of 2493847372864 is 4682737483942.

The square root of 2493847372864 is 1579192.

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., 1738199654464 + 755647718400 = 1318408^2 + 869280^2 .

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 2493847372864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1377054519 + ... + 1377056329.

Almost surely, 2^{2493847372864} is an apocalyptic number.

2493847372864 is the 1579192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2493847372864

2493847372864 is an abundant number, since it is smaller than the sum of its proper divisors (2503458126917).

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

2493847372864 is an frugal number, since it uses more digits than its factorization.

2493847372864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852 (or 1922 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 67.

The spelling of 2493847372864 in words is "two trillion, four hundred ninety-three billion, eight hundred forty-seven million, three hundred seventy-two thousand, eight hundred sixty-four".