2738647521 has 72 divisors (see below), whose sum is σ = 4385662008. Its totient is φ = 1645056000.

The previous prime is 2738647507. The next prime is 2738647543. The reversal of 2738647521 is 1257468372.

2738647521 is a `hidden beast` number, since 2 + 7 + 3 + 86 + 47 + 521 = 666.

2738647521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2035814400 + 702833121 = 45120^2 + 26511^2 .

It is not a de Polignac number, because 2738647521 - 2¹⁰ = 2738646497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2738647591) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6504891 + ... + 6505311.

Almost surely, 2^2738647521 is an apocalyptic number.

It is an amenable number.

2738647521 is a deficient number, since it is larger than the sum of its proper divisors (1647014487).

2738647521 is a wasteful number, since it uses less digits than its factorization.

2738647521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 543 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 2738647521 is about 52332.0888270285. The cubic root of 2738647521 is about 1399.0891219423.

The spelling of 2738647521 in words is "two billion, seven hundred thirty-eight million, six hundred forty-seven thousand, five hundred twenty-one".