2548729232676 has 225 divisors, whose sum is σ = 7339136771505. Its totient is φ = 771288518880.

The previous prime is 2548729232659. The next prime is 2548729232683. The reversal of 2548729232676 is 6762329278452.

The square root of 2548729232676 is 1596474.

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

2548729232676 is a `hidden beast` number, since 2 + 5 + 4 + 87 + 292 + 3 + 267 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2493398902500 + 55330330176 = 1579050^2 + 235224^2 .

It is a super-2 number, since 2×2548729232676² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 3477120006 + ... + 3477120738.

Almost surely, 2^{2548729232676} is an apocalyptic number.

2548729232676 is the 1596474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2548729232676

2548729232676 is an abundant number, since it is smaller than the sum of its proper divisors (4790407538829).

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

2548729232676 is an frugal number, since it uses more digits than its factorization.

2548729232676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 749 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 2548729232676 in words is "two trillion, five hundred forty-eight billion, seven hundred twenty-nine million, two hundred thirty-two thousand, six hundred seventy-six".