2509952829 has 8 divisors (see below), whose sum is σ = 3369064800. Its totient is φ = 1662071376.

The previous prime is 2509952773. The next prime is 2509952833. The reversal of 2509952829 is 9282599052.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2509952829 - 2⁹ = 2509952317 is a prime.

It is a super-3 number, since 3×2509952829³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509952849) 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 7 ways as a sum of consecutive naturals, for example, 2807107 + ... + 2808000.

It is an arithmetic number, because the mean of its divisors is an integer number (421133100).

Almost surely, 2^2509952829 is an apocalyptic number.

It is an amenable number.

2509952829 is a deficient number, since it is larger than the sum of its proper divisors (859111971).

2509952829 is a wasteful number, since it uses less digits than its factorization.

2509952829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5615259.

The product of its (nonzero) digits is 1166400, while the sum is 51.

The square root of 2509952829 is about 50099.4294278887. The cubic root of 2509952829 is about 1359.0074990882.

The spelling of 2509952829 in words is "two billion, five hundred nine million, nine hundred fifty-two thousand, eight hundred twenty-nine".