2680828947540 has 192 divisors, whose sum is σ = 8597397150720. Its totient is φ = 692998364160.

The previous prime is 2680828947527. The next prime is 2680828947571. The reversal of 2680828947540 is 457498280862.

2680828947540 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 8 + 2 + 89 + 4 + 7 + 540 = 666.

2680828947540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5167024 + ... + 5662136.

It is an arithmetic number, because the mean of its divisors is an integer number (44778110160).

Almost surely, 2^{2680828947540} is an apocalyptic number.

2680828947540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680828947540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298698575360).

2680828947540 is an abundant number, since it is smaller than the sum of its proper divisors (5916568203180).

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

2680828947540 is a wasteful number, since it uses less digits than its factorization.

2680828947540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495439 (or 495431 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 2680828947540 in words is "two trillion, six hundred eighty billion, eight hundred twenty-eight million, nine hundred forty-seven thousand, five hundred forty".