2002829325 has 96 divisors (see below), whose sum is σ = 3887084544. Its totient is φ = 891095040.

The previous prime is 2002829303. The next prime is 2002829333. The reversal of 2002829325 is 5239282002.

It is not a de Polignac number, because 2002829325 - 2¹⁰ = 2002828301 is a prime.

It is a super-2 number, since 2×2002829325² = 8022650610159911250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3411682 + ... + 3412268.

It is an arithmetic number, because the mean of its divisors is an integer number (40490464).

Almost surely, 2^2002829325 is an apocalyptic number.

2002829325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2002829325 is a deficient number, since it is larger than the sum of its proper divisors (1884255219).

2002829325 is a wasteful number, since it uses less digits than its factorization.

2002829325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2002829325 is about 44752.9811856149. The cubic root of 2002829325 is about 1260.5148909754.

The spelling of 2002829325 in words is "two billion, two million, eight hundred twenty-nine thousand, three hundred twenty-five".