2009067864 has 64 divisors (see below), whose sum is σ = 5078384640. Its totient is φ = 662296320.

The previous prime is 2009067833. The next prime is 2009067877. The reversal of 2009067864 is 4687609002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1166524 + ... + 1168244.

It is an arithmetic number, because the mean of its divisors is an integer number (79349760).

Almost surely, 2^2009067864 is an apocalyptic number.

2009067864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2009067864 is an abundant number, since it is smaller than the sum of its proper divisors (3069316776).

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

2009067864 is a wasteful number, since it uses less digits than its factorization.

2009067864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2009067864 is about 44822.6266967923. The cubic root of 2009067864 is about 1261.8223115083.

The spelling of 2009067864 in words is "two billion, nine million, sixty-seven thousand, eight hundred sixty-four".