2642448564721 has 27 divisors (see below), whose sum is σ = 3093356298123. Its totient is φ = 2250686738160.

The previous prime is 2642448564709. The next prime is 2642448564787. The reversal of 2642448564721 is 1274658442462.

The square root of 2642448564721 is 1625561.

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

It can be written as a sum of positive squares in only one way, i.e., 29117668321 + 2613330896400 = 170639^2 + 1616580^2 .

It is not a de Polignac number, because 2642448564721 - 2⁷ = 2642448564593 is a prime.

It is a super-3 number, since 3×2642448564721³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2642448564121) 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, 2059585146 + ... + 2059586428.

Almost surely, 2^{2642448564721} is an apocalyptic number.

2642448564721 is the 1625561-st square number.

2642448564721 is the 812781-st centered octagonal number.

It is an amenable number.

2642448564721 is a deficient number, since it is larger than the sum of its proper divisors (450907733402).

2642448564721 is an frugal number, since it uses more digits than its factorization.

2642448564721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 1471 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 55.

The spelling of 2642448564721 in words is "two trillion, six hundred forty-two billion, four hundred forty-eight million, five hundred sixty-four thousand, seven hundred twenty-one".