2681828062740 has 72 divisors (see below), whose sum is σ = 8176172364360. Its totient is φ = 711523916544.

The previous prime is 2681828062723. The next prime is 2681828062741. The reversal of 2681828062740 is 472608281862.

2681828062740 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 8 + 2 + 8 + 0 + 627 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1891802183184 + 790025879556 = 1375428^2 + 888834^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681828062741) 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, 37779375 + ... + 37850294.

It is an arithmetic number, because the mean of its divisors is an integer number (113557949505).

Almost surely, 2^{2681828062740} is an apocalyptic number.

2681828062740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2681828062740 is an abundant number, since it is smaller than the sum of its proper divisors (5494344301620).

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

2681828062740 is a wasteful number, since it uses less digits than its factorization.

2681828062740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75629881 (or 75629876 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 2681828062740 in words is "two trillion, six hundred eighty-one billion, eight hundred twenty-eight million, sixty-two thousand, seven hundred forty".