2107681680 has 80 divisors (see below), whose sum is σ = 7036424640. Its totient is φ = 518813184.

The previous prime is 2107681673. The next prime is 2107681717. The reversal of 2107681680 is 861867012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334650 + ... + 340889.

It is an arithmetic number, because the mean of its divisors is an integer number (87955308).

Almost surely, 2^2107681680 is an apocalyptic number.

2107681680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2107681680 is an abundant number, since it is smaller than the sum of its proper divisors (4928742960).

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

2107681680 is a wasteful number, since it uses less digits than its factorization.

2107681680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675568 (or 675562 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 2107681680 is about 45909.4944428710. The cubic root of 2107681680 is about 1282.1386934449.

The spelling of 2107681680 in words is "two billion, one hundred seven million, six hundred eighty-one thousand, six hundred eighty".