2649752373636 has 243 divisors, whose sum is σ = 7189391145573. Its totient is φ = 822758264640.

The previous prime is 2649752373523. The next prime is 2649752373637. The reversal of 2649752373636 is 6363732579462.

The square root of 2649752373636 is 1627806.

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

2649752373636 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 7 + 523 + 73 + 6 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1846864692036 + 802887681600 = 1358994^2 + 896040^2 .

It is a super-2 number, since 2×2649752373636² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2649752373637) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 20227117291 + ... + 20227117421.

Almost surely, 2^{2649752373636} is an apocalyptic number.

2649752373636 is the 1627806-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2649752373636

2649752373636 is an abundant number, since it is smaller than the sum of its proper divisors (4539638771937).

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

2649752373636 is a wasteful number, since it uses less digits than its factorization.

2649752373636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 264 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 63.

The spelling of 2649752373636 in words is "two trillion, six hundred forty-nine billion, seven hundred fifty-two million, three hundred seventy-three thousand, six hundred thirty-six".