2814056417680 has 40 divisors (see below), whose sum is σ = 6543656179200. Its totient is φ = 1125454823808.

The previous prime is 2814056417651. The next prime is 2814056417693. The reversal of 2814056417680 is 867146504182.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 2080110 + ... + 3155149.

It is an arithmetic number, because the mean of its divisors is an integer number (163591404480).

Almost surely, 2^{2814056417680} is an apocalyptic number.

2814056417680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2814056417680 is an abundant number, since it is smaller than the sum of its proper divisors (3729599761520).

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

2814056417680 is a wasteful number, since it uses less digits than its factorization.

2814056417680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5241991 (or 5241985 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 2814056417680 in words is "two trillion, eight hundred fourteen billion, fifty-six million, four hundred seventeen thousand, six hundred eighty".