2011504320 has 448 divisors, whose sum is σ = 8232038400. Its totient is φ = 452874240.

The previous prime is 2011504309. The next prime is 2011504343. The reversal of 2011504320 is 234051102.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2011504320² = 8092299258757324800, which contains 22 as substring.

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 = 2011504293 and 2011504302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4777710 + ... + 4778130.

Almost surely, 2^2011504320 is an apocalyptic number.

2011504320 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 2011504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116019200).

2011504320 is an abundant number, since it is smaller than the sum of its proper divisors (6220534080).

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

2011504320 is a wasteful number, since it uses less digits than its factorization.

2011504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 517 counting only the distinct ones).

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

The square root of 2011504320 is about 44849.7973239568. The cubic root of 2011504320 is about 1262.3321885245.

Adding to 2011504320 its reverse (234051102), we get a palindrome (2245555422).

The spelling of 2011504320 in words is "two billion, eleven million, five hundred four thousand, three hundred twenty".