2011252320 has 864 divisors, whose sum is σ = 9223066944. Its totient is φ = 389283840.

The previous prime is 2011252307. The next prime is 2011252343. The reversal of 2011252320 is 232521102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2011252293 and 2011252302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20734512 + ... + 20734608.

It is an arithmetic number, because the mean of its divisors is an integer number (10674846).

Almost surely, 2^2011252320 is an apocalyptic number.

2011252320 is a gapful number since it is divisible by the number (20) 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 2011252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611533472).

2011252320 is an abundant number, since it is smaller than the sum of its proper divisors (7211814624).

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

2011252320 is a wasteful number, since it uses less digits than its factorization.

2011252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2011252320 is about 44846.9878587180. The cubic root of 2011252320 is about 1262.2794715946.

Adding to 2011252320 its reverse (232521102), we get a palindrome (2243773422).

It can be divided in two parts, 201 and 1252320, that added together give a palindrome (1252521).

The spelling of 2011252320 in words is "two billion, eleven million, two hundred fifty-two thousand, three hundred twenty".