2680083677520 has 60 divisors (see below), whose sum is σ = 9000614352756. Its totient is φ = 714688980480.

The previous prime is 2680083677497. The next prime is 2680083677539. The reversal of 2680083677520 is 257763800862.

2680083677520 is a `hidden beast` number, since 2 + 6 + 80 + 0 + 8 + 36 + 7 + 7 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1025690919696 + 1654392757824 = 1012764^2 + 1286232^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1861168501 + ... + 1861169940.

Almost surely, 2^{2680083677520} is an apocalyptic number.

2680083677520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2680083677520 is an abundant number, since it is smaller than the sum of its proper divisors (6320530675236).

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

2680083677520 is a wasteful number, since it uses less digits than its factorization.

2680083677520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722338460 (or 3722338451 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2680083677520 in words is "two trillion, six hundred eighty billion, eighty-three million, six hundred seventy-seven thousand, five hundred twenty".