2671680020 has 12 divisors (see below), whose sum is σ = 5610528084. Its totient is φ = 1068672000.

The previous prime is 2671680019. The next prime is 2671680059. The reversal of 2671680020 is 200861762.

It can be written as a sum of positive squares in 2 ways, for example, as 1343369104 + 1328310916 = 36652^2 + 36446^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 66791981 + ... + 66792020.

It is an arithmetic number, because the mean of its divisors is an integer number (467544007).

Almost surely, 2^2671680020 is an apocalyptic number.

2671680020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2671680020 is an abundant number, since it is smaller than the sum of its proper divisors (2938848064).

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

2671680020 is a wasteful number, since it uses less digits than its factorization.

2671680020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133584010 (or 133584008 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2671680020 is about 51688.2967411386. The cubic root of 2671680020 is about 1387.5910209476.

The spelling of 2671680020 in words is "two billion, six hundred seventy-one million, six hundred eighty thousand, twenty".