2681460928080 has 120 divisors (see below), whose sum is σ = 9823897792800. Its totient is φ = 650051132160.

The previous prime is 2681460928079. The next prime is 2681460928087. The reversal of 2681460928080 is 808290641862.

2681460928080 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 4 + 609 + 28 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681460928087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169276230 + ... + 169292069.

It is an arithmetic number, because the mean of its divisors is an integer number (81865814940).

Almost surely, 2^{2681460928080} is an apocalyptic number.

2681460928080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2681460928080 is an abundant number, since it is smaller than the sum of its proper divisors (7142436864720).

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

2681460928080 is a wasteful number, since it uses less digits than its factorization.

2681460928080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338568329 (or 338568320 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 2681460928080 in words is "two trillion, six hundred eighty-one billion, four hundred sixty million, nine hundred twenty-eight thousand, eighty".