2002048029 has 8 divisors (see below), whose sum is σ = 2965997120. Its totient is φ = 1334698668.

The previous prime is 2002048021. The next prime is 2002048079. The reversal of 2002048029 is 9208402002.

It is not a de Polignac number, because 2002048029 - 2³ = 2002048021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 74149927 = 2002048029 / (2 + 0 + 0 + 2 + 0 + 4 + 8 + 0 + 2 + 9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002047993 and 2002048011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002048021) 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 7 ways as a sum of consecutive naturals, for example, 37074937 + ... + 37074990.

It is an arithmetic number, because the mean of its divisors is an integer number (370749640).

Almost surely, 2^2002048029 is an apocalyptic number.

It is an amenable number.

2002048029 is a deficient number, since it is larger than the sum of its proper divisors (963949091).

2002048029 is an equidigital number, since it uses as much as digits as its factorization.

2002048029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74149936 (or 74149930 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2002048029 is about 44744.2513514306. The cubic root of 2002048029 is about 1260.3509623240.

The spelling of 2002048029 in words is "two billion, two million, forty-eight thousand, twenty-nine".