2820588497680 has 40 divisors (see below), whose sum is σ = 6560318463192. Its totient is φ = 1127813858304.

The previous prime is 2820588497641. The next prime is 2820588497717. The reversal of 2820588497680 is 867948850282.

It can be written as a sum of positive squares in 4 ways, for example, as 88734877456 + 2731853620224 = 297884^2 + 1652832^2 .

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

It is a super-4 number, since 4×2820588497680⁴ (a number of 51 digits) contains 4444 as substring.

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 7 ways as a sum of consecutive naturals, for example, 6371077 + ... + 6799396.

Almost surely, 2^{2820588497680} is an apocalyptic number.

2820588497680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2820588497680 is an abundant number, since it is smaller than the sum of its proper divisors (3739729965512).

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

2820588497680 is a wasteful number, since it uses less digits than its factorization.

2820588497680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13173163 (or 13173157 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 67.

The spelling of 2820588497680 in words is "two trillion, eight hundred twenty billion, five hundred eighty-eight million, four hundred ninety-seven thousand, six hundred eighty".