2749590759721 has 27 divisors (see below), whose sum is σ = 2995804335951. Its totient is φ = 2522463637824.

The previous prime is 2749590759719. The next prime is 2749590759743. The reversal of 2749590759721 is 1279570959472.

The square root of 2749590759721 is 1658189.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2270865149721 + 478725610000 = 1506939^2 + 691900^2 .

It is not a de Polignac number, because 2749590759721 - 2¹ = 2749590759719 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2749590759121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4936428375 + ... + 4936428931.

Almost surely, 2^{2749590759721} is an apocalyptic number.

2749590759721 is the 1658189-th square number.

2749590759721 is the 829095-th centered octagonal number.

It is an amenable number.

2749590759721 is a deficient number, since it is larger than the sum of its proper divisors (246213576230).

2749590759721 is an frugal number, since it uses more digits than its factorization.

2749590759721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 100018800, while the sum is 67.

The spelling of 2749590759721 in words is "two trillion, seven hundred forty-nine billion, five hundred ninety million, seven hundred fifty-nine thousand, seven hundred twenty-one".