240828692049 has 45 divisors (see below), whose sum is σ = 395514555051. Its totient is φ = 145927338480.

The previous prime is 240828692047. The next prime is 240828692107. The reversal of 240828692049 is 940296828042.

The square root of 240828692049 is 490743.

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

240828692049 is a `hidden beast` number, since 2 + 408 + 28 + 6 + 9 + 204 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 204245244225 + 36583447824 = 451935^2 + 191268^2 .

It is not a de Polignac number, because 240828692049 - 2¹ = 240828692047 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 240828691986 and 240828692004.

It is not an unprimeable number, because it can be changed into a prime (240828692047) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48581079 + ... + 48586035.

Almost surely, 2^240828692049 is an apocalyptic number.

240828692049 is the 490743-rd square number.

240828692049 is the 245372-nd centered octagonal number.

It is an amenable number.

240828692049 is a deficient number, since it is larger than the sum of its proper divisors (154685863002).

240828692049 is an frugal number, since it uses more digits than its factorization.

240828692049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9948 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 240828692049 in words is "two hundred forty billion, eight hundred twenty-eight million, six hundred ninety-two thousand, forty-nine".