1009034880 has 256 divisors, whose sum is σ = 3704313600. Its totient is φ = 228851712.

The previous prime is 1009034879. The next prime is 1009034921. The reversal of 1009034880 is 884309001.

It is a super-2 number, since 2×1009034880² = 2036302778113228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2593726 + ... + 2594114.

It is an arithmetic number, because the mean of its divisors is an integer number (14469975).

Almost surely, 2^1009034880 is an apocalyptic number.

1009034880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852156800).

1009034880 is an abundant number, since it is smaller than the sum of its proper divisors (2695278720).

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

1009034880 is a wasteful number, since it uses less digits than its factorization.

1009034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1009034880 is about 31765.3093798880. The cubic root of 1009034880 is about 1003.0026020243.

The spelling of 1009034880 in words is "one billion, nine million, thirty-four thousand, eight hundred eighty".