2681884071120 has 80 divisors (see below), whose sum is σ = 8314923703680. Its totient is φ = 715075917312.

The previous prime is 2681884071103. The next prime is 2681884071169. The reversal of 2681884071120 is 211704881862.

2681884071120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2681884071120.

It is a congruent number.

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, 1128061 + ... + 2576099.

It is an arithmetic number, because the mean of its divisors is an integer number (103936546296).

Almost surely, 2^{2681884071120} is an apocalyptic number.

2681884071120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2681884071120 is an abundant number, since it is smaller than the sum of its proper divisors (5633039632560).

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

2681884071120 is a wasteful number, since it uses less digits than its factorization.

2681884071120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455772 (or 1455766 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The spelling of 2681884071120 in words is "two trillion, six hundred eighty-one billion, eight hundred eighty-four million, seventy-one thousand, one hundred twenty".