2749633872804 has 243 divisors, whose sum is σ = 8757899278947. Its totient is φ = 724939383168.

The previous prime is 2749633872751. The next prime is 2749633872809. The reversal of 2749633872804 is 4082783369472.

The square root of 2749633872804 is 1658202.

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

2749633872804 is a `hidden beast` number, since 2 + 74 + 96 + 338 + 72 + 80 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 139287204 + 2749494585600 = 11802^2 + 1658160^2 .

It is a super-2 number, since 2×2749633872804² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2749633872809) 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, 905376774 + ... + 905379810.

Almost surely, 2^{2749633872804} is an apocalyptic number.

2749633872804 is the 1658202-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2749633872804

2749633872804 is an abundant number, since it is smaller than the sum of its proper divisors (6008265406143).

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

2749633872804 is a wasteful number, since it uses less digits than its factorization.

2749633872804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 2749633872804 in words is "two trillion, seven hundred forty-nine billion, six hundred thirty-three million, eight hundred seventy-two thousand, eight hundred four".