2047680864784 has 45 divisors (see below), whose sum is σ = 3990392540589. Its totient is φ = 1017936241920.

The previous prime is 2047680864743. The next prime is 2047680864871. The reversal of 2047680864784 is 4874680867402.

The square root of 2047680864784 is 1430972.

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., 54298320400 + 1993382544384 = 233020^2 + 1411872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1093261672 + ... + 1093263544.

Almost surely, 2^{2047680864784} is an apocalyptic number.

2047680864784 is the 1430972-nd square number.

It is an amenable number.

2047680864784 is a deficient number, since it is larger than the sum of its proper divisors (1942711675805).

2047680864784 is an frugal number, since it uses more digits than its factorization.

2047680864784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 64.

Multiplying 2047680864784 by its sum of digits (64), we get a square (131051575346176 = 11447776²).

The spelling of 2047680864784 in words is "two trillion, forty-seven billion, six hundred eighty million, eight hundred sixty-four thousand, seven hundred eighty-four".