2011310664 has 256 divisors, whose sum is σ = 6200064000. Its totient is φ = 535818240.

The previous prime is 2011310657. The next prime is 2011310669. The reversal of 2011310664 is 4660131102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2011310669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8782902 + ... + 8783130.

It is an arithmetic number, because the mean of its divisors is an integer number (24219000).

Almost surely, 2^2011310664 is an apocalyptic number.

2011310664 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 2011310664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100032000).

2011310664 is an abundant number, since it is smaller than the sum of its proper divisors (4188753336).

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

2011310664 is a wasteful number, since it uses less digits than its factorization.

2011310664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2011310664 is about 44847.6383324696. The cubic root of 2011310664 is about 1262.2916772108.

Adding to 2011310664 its reverse (4660131102), we get a palindrome (6671441766).

The spelling of 2011310664 in words is "two billion, eleven million, three hundred ten thousand, six hundred sixty-four".