2680312511556 has 135 divisors (see below), whose sum is σ = 7090012250321. Its totient is φ = 853736228352.

The previous prime is 2680312511537. The next prime is 2680312511561. The reversal of 2680312511556 is 6551152130862.

The square root of 2680312511556 is 1637166.

It is a perfect power (a square), and thus also a powerful number.

2680312511556 is a `hidden beast` number, since 2 + 6 + 80 + 3 + 1 + 2 + 5 + 11 + 556 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 1547620593156 + 1132691918400 = 1244034^2 + 1064280^2 .

It is a super-2 number, since 2×2680312511556² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27632087700 + ... + 27632087796.

Almost surely, 2^{2680312511556} is an apocalyptic number.

2680312511556 is the 1637166-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680312511556

2680312511556 is an abundant number, since it is smaller than the sum of its proper divisors (4409699738765).

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

2680312511556 is an frugal number, since it uses more digits than its factorization.

2680312511556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 2680312511556 in words is "two trillion, six hundred eighty billion, three hundred twelve million, five hundred eleven thousand, five hundred fifty-six".