2753728641 has 12 divisors (see below), whose sum is σ = 3986242260. Its totient is φ = 1831834080.

The previous prime is 2753728559. The next prime is 2753728687. The reversal of 2753728641 is 1468273572.

2753728641 is a `hidden beast` number, since 275 + 372 + 8 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1598000625 + 1155728016 = 39975^2 + 33996^2 .

It is not a de Polignac number, because 2753728641 - 2⁷ = 2753728513 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2753628641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327706 + ... + 336003.

It is an arithmetic number, because the mean of its divisors is an integer number (332186855).

Almost surely, 2^2753728641 is an apocalyptic number.

It is an amenable number.

2753728641 is a deficient number, since it is larger than the sum of its proper divisors (1232513619).

2753728641 is a wasteful number, since it uses less digits than its factorization.

2753728641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664176 (or 664173 counting only the distinct ones).

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

The square root of 2753728641 is about 52475.9815629970. The cubic root of 2753728641 is about 1401.6525792874.

The spelling of 2753728641 in words is "two billion, seven hundred fifty-three million, seven hundred twenty-eight thousand, six hundred forty-one".