2011012320 has 48 divisors (see below), whose sum is σ = 6334690320. Its totient is φ = 536269824.

The previous prime is 2011012319. The next prime is 2011012327. The reversal of 2011012320 is 232101102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2011012296 and 2011012305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011012327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2094325 + ... + 2095284.

It is an arithmetic number, because the mean of its divisors is an integer number (131972715).

Almost surely, 2^2011012320 is an apocalyptic number.

2011012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011012320 is an abundant number, since it is smaller than the sum of its proper divisors (4323678000).

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

2011012320 is a wasteful number, since it uses less digits than its factorization.

2011012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189627 (or 4189619 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2011012320 is about 44844.3120138998. The cubic root of 2011012320 is about 1262.2292609007.

Adding to 2011012320 its reverse (232101102), we get a palindrome (2243113422).

The spelling of 2011012320 in words is "two billion, eleven million, twelve thousand, three hundred twenty".