9009002034 has 16 divisors (see below), whose sum is σ = 20020004640. Its totient is φ = 3003000660.

The previous prime is 9009002029. The next prime is 9009002059. The reversal of 9009002034 is 4302009009.

9009002034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9009002034² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 9009001989 and 9009002007.

It is an unprimeable number.

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, 83416632 + ... + 83416739.

It is an arithmetic number, because the mean of its divisors is an integer number (1251250290).

Almost surely, 2^9009002034 is an apocalyptic number.

9009002034 is an abundant number, since it is smaller than the sum of its proper divisors (11011002606).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9009002034 is a wasteful number, since it uses less digits than its factorization.

9009002034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166833382 (or 166833376 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 9009002034 is about 94915.7628321029. The cubic root of 9009002034 is about 2080.7771099294. Note that the first 3 decimals are identical.

The spelling of 9009002034 in words is "nine billion, nine million, two thousand, thirty-four".