2768103992644 has 9 divisors (see below), whose sum is σ = 4844187810301. Its totient is φ = 1384050332560.

The previous prime is 2768103992629. The next prime is 2768103992663. The reversal of 2768103992644 is 4462993018672.

It is a happy number.

The square root of 2768103992644 is 1663762.

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., 149662207044 + 2618441785600 = 386862^2 + 1618160^2 .

It is a super-2 number, since 2×2768103992644² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 2911584 + ... + 3743464.

Almost surely, 2^{2768103992644} is an apocalyptic number.

2768103992644 is the 1663762-nd square number.

It is an amenable number.

2768103992644 is a deficient number, since it is larger than the sum of its proper divisors (2076083817657).

2768103992644 is an frugal number, since it uses more digits than its factorization.

2768103992644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663766 (or 831883 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 61.

The spelling of 2768103992644 in words is "two trillion, seven hundred sixty-eight billion, one hundred three million, nine hundred ninety-two thousand, six hundred forty-four".