2813664266880 has 64 divisors (see below), whose sum is σ = 8968554856800. Its totient is φ = 750310470656.

The previous prime is 2813664266827. The next prime is 2813664266887. The reversal of 2813664266880 is 886624663182.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (2813664266887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 732723150 + ... + 732726989.

Almost surely, 2^{2813664266880} is an apocalyptic number.

2813664266880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2813664266880 is an abundant number, since it is smaller than the sum of its proper divisors (6154890589920).

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

2813664266880 is a wasteful number, since it uses less digits than its factorization.

2813664266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465450161 (or 1465450149 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 2813664266880 in words is "two trillion, eight hundred thirteen billion, six hundred sixty-four million, two hundred sixty-six thousand, eight hundred eighty".