2009465016 has 64 divisors (see below), whose sum is σ = 5421360000. Its totient is φ = 617010048.

The previous prime is 2009465009. The next prime is 2009465027. The reversal of 2009465016 is 6105649002.

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, 149235 + ... + 162141.

It is an arithmetic number, because the mean of its divisors is an integer number (84708750).

Almost surely, 2^2009465016 is an apocalyptic number.

2009465016 is a gapful number since it is divisible by the number (26) 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 2009465016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710680000).

2009465016 is an abundant number, since it is smaller than the sum of its proper divisors (3411894984).

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

2009465016 is a wasteful number, since it uses less digits than its factorization.

2009465016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13428 (or 13424 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2009465016 is about 44827.0567403215. The cubic root of 2009465016 is about 1261.9054515963.

The spelling of 2009465016 in words is "two billion, nine million, four hundred sixty-five thousand, sixteen".