2445937829 has 12 divisors (see below), whose sum is σ = 2570262156. Its totient is φ = 2327373312.

The previous prime is 2445937817. The next prime is 2445937877. The reversal of 2445937829 is 9287395442.

It can be written as a sum of positive squares in 2 ways, for example, as 1310584804 + 1135353025 = 36202^2 + 33695^2 .

It is not a de Polignac number, because 2445937829 - 2⁸ = 2445937573 is a prime.

It is a super-2 number, since 2×2445937829² = 11965223726666466482, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2445930829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90119 + ... + 114075.

It is an arithmetic number, because the mean of its divisors is an integer number (214188513).

Almost surely, 2^2445937829 is an apocalyptic number.

It is an amenable number.

2445937829 is a deficient number, since it is larger than the sum of its proper divisors (124324327).

2445937829 is a wasteful number, since it uses less digits than its factorization.

2445937829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24196 (or 24173 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 53.

The square root of 2445937829 is about 49456.4235362809. The cubic root of 2445937829 is about 1347.3542749121.

The spelling of 2445937829 in words is "two billion, four hundred forty-five million, nine hundred thirty-seven thousand, eight hundred twenty-nine".