2011314304 has 64 divisors (see below), whose sum is σ = 4198222080. Its totient is φ = 958003200.

The previous prime is 2011314257. The next prime is 2011314311. The reversal of 2011314304 is 4034131102.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 796564 + ... + 799084.

It is an arithmetic number, because the mean of its divisors is an integer number (65597220).

Almost surely, 2^2011314304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099111040).

2011314304 is an abundant number, since it is smaller than the sum of its proper divisors (2186907776).

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

2011314304 is a wasteful number, since it uses less digits than its factorization.

2011314304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2011314304 is about 44847.6789142983. The cubic root of 2011314304 is about 1262.2924386941.

Adding to 2011314304 its reverse (4034131102), we get a palindrome (6045445406).

The spelling of 2011314304 in words is "two billion, eleven million, three hundred fourteen thousand, three hundred four".