2009904864 has 144 divisors (see below), whose sum is σ = 6052185216. Its totient is φ = 582503680.

The previous prime is 2009904859. The next prime is 2009904877. The reversal of 2009904864 is 4684099002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263407 + ... + 270929.

It is an arithmetic number, because the mean of its divisors is an integer number (42029064).

Almost surely, 2^2009904864 is an apocalyptic number.

2009904864 is a gapful number since it is divisible by the number (24) 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 2009904864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026092608).

2009904864 is an abundant number, since it is smaller than the sum of its proper divisors (4042280352).

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

2009904864 is a wasteful number, since it uses less digits than its factorization.

2009904864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7581 (or 7562 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2009904864 is about 44831.9625267509. The cubic root of 2009904864 is about 1261.9975169125.

The spelling of 2009904864 in words is "two billion, nine million, nine hundred four thousand, eight hundred sixty-four".