2751643980864 has 105 divisors (see below), whose sum is σ = 8157088826887. Its totient is φ = 917174848896.

The previous prime is 2751643980853. The next prime is 2751643980889. The reversal of 2751643980864 is 4680893461572.

The square root of 2751643980864 is 1658808.

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

2751643980864 is a `hidden beast` number, since 2 + 7 + 5 + 164 + 398 + 0 + 86 + 4 = 666.

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 119422657 + ... + 119445695.

It is a 1-persistent number, because it is pandigital, but 2⋅2751643980864 = 5503287961728 is not.

Almost surely, 2^{2751643980864} is an apocalyptic number.

2751643980864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2751643980864 is the 1658808-th square number.

It is an amenable number.

2751643980864 is an abundant number, since it is smaller than the sum of its proper divisors (5405444846023).

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

2751643980864 is an frugal number, since it uses more digits than its factorization.

2751643980864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46102 (or 23044 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 2751643980864 in words is "two trillion, seven hundred fifty-one billion, six hundred forty-three million, nine hundred eighty thousand, eight hundred sixty-four".