2429138825 has 12 divisors (see below), whose sum is σ = 3012790428. Its totient is φ = 1942886400.

The previous prime is 2429138821. The next prime is 2429138863. The reversal of 2429138825 is 5288319242.

It can be written as a sum of positive squares in 6 ways, for example, as 108597241 + 2320541584 = 10421^2 + 48172^2 .

It is not a de Polignac number, because 2429138825 - 2² = 2429138821 is a prime.

It is a super-2 number, since 2×2429138825² = 11801430862244761250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2429138821) 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, 159545 + ... + 174105.

It is an arithmetic number, because the mean of its divisors is an integer number (251065869).

Almost surely, 2^2429138825 is an apocalyptic number.

2429138825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2429138825 is a deficient number, since it is larger than the sum of its proper divisors (583651603).

2429138825 is a wasteful number, since it uses less digits than its factorization.

2429138825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21244 (or 21239 counting only the distinct ones).

The product of its digits is 276480, while the sum is 44.

The square root of 2429138825 is about 49286.2944945144. The cubic root of 2429138825 is about 1344.2625873531.

The spelling of 2429138825 in words is "two billion, four hundred twenty-nine million, one hundred thirty-eight thousand, eight hundred twenty-five".