2742317821 has 12 divisors (see below), whose sum is σ = 2915319892. Its totient is φ = 2579056128.

The previous prime is 2742317813. The next prime is 2742317843. The reversal of 2742317821 is 1287132472.

It can be written as a sum of positive squares in 6 ways, for example, as 72012196 + 2670305625 = 8486^2 + 51675^2 .

It is not a de Polignac number, because 2742317821 - 2³ = 2742317813 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742317321) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 503911 + ... + 509323.

Almost surely, 2^2742317821 is an apocalyptic number.

It is an amenable number.

2742317821 is a deficient number, since it is larger than the sum of its proper divisors (173002071).

2742317821 is a wasteful number, since it uses less digits than its factorization.

2742317821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7200 (or 7183 counting only the distinct ones).

The product of its digits is 37632, while the sum is 37.

The square root of 2742317821 is about 52367.1444801032. The cubic root of 2742317821 is about 1399.7138566557.

The spelling of 2742317821 in words is "two billion, seven hundred forty-two million, three hundred seventeen thousand, eight hundred twenty-one".