2452607829 has 120 divisors (see below), whose sum is σ = 4524873408. Its totient is φ = 1317254400.

The previous prime is 2452607827. The next prime is 2452607831. The reversal of 2452607829 is 9287062542.

It is an interprime number because it is at equal distance from previous prime (2452607827) and next prime (2452607831).

It is not a de Polignac number, because 2452607829 - 2¹ = 2452607827 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452607827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6116029 + ... + 6116429.

Almost surely, 2^2452607829 is an apocalyptic number.

It is an amenable number.

2452607829 is a deficient number, since it is larger than the sum of its proper divisors (2072265579).

2452607829 is a wasteful number, since it uses less digits than its factorization.

2452607829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2452607829 is about 49523.8107277701. The cubic root of 2452607829 is about 1348.5778950575.

The spelling of 2452607829 in words is "two billion, four hundred fifty-two million, six hundred seven thousand, eight hundred twenty-nine".