2011109520 has 320 divisors, whose sum is σ = 7664080896. Its totient is φ = 425779200.

The previous prime is 2011109519. The next prime is 2011109521. The reversal of 2011109520 is 259011102.

It is an interprime number because it is at equal distance from previous prime (2011109519) and next prime (2011109521).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2011109521) by changing a digit.

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, 1912995 + ... + 1914045.

Almost surely, 2^2011109520 is an apocalyptic number.

2011109520 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 2011109520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832040448).

2011109520 is an abundant number, since it is smaller than the sum of its proper divisors (5652971376).

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

2011109520 is a wasteful number, since it uses less digits than its factorization.

2011109520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 2011109520 is about 44845.3957502886. The cubic root of 2011109520 is about 1262.2495967130.

The spelling of 2011109520 in words is "two billion, eleven million, one hundred nine thousand, five hundred twenty".