2542882329 has 45 divisors (see below), whose sum is σ = 4122871599. Its totient is φ = 1561219920.

The previous prime is 2542882327. The next prime is 2542882333. The reversal of 2542882329 is 9232882452.

The square root of 2542882329 is 50427.

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

2542882329 is a `hidden beast` number, since 2 + 542 + 8 + 82 + 3 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 376166025 + 2166716304 = 19395^2 + 46548^2 .

It is not a de Polignac number, because 2542882329 - 2¹ = 2542882327 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2542882327) 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, 5899744 + ... + 5900174.

Almost surely, 2^2542882329 is an apocalyptic number.

2542882329 is the 50427-th square number.

2542882329 is the 25214-th centered octagonal number.

It is an amenable number.

2542882329 is a deficient number, since it is larger than the sum of its proper divisors (1579989270).

2542882329 is an frugal number, since it uses more digits than its factorization.

2542882329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 447 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The cubic root of 2542882329 is about 1364.9248938267.

The spelling of 2542882329 in words is "two billion, five hundred forty-two million, eight hundred eighty-two thousand, three hundred twenty-nine".