2011820608 has 56 divisors (see below), whose sum is σ = 4591742912. Its totient is φ = 856687104.

The previous prime is 2011820581. The next prime is 2011820623. The reversal of 2011820608 is 8060281102.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

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 7 ways as a sum of consecutive naturals, for example, 56035 + ... + 84637.

Almost surely, 2^2011820608 is an apocalyptic number.

2011820608 is a gapful number since it is divisible by the number (28) 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 2011820608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295871456).

2011820608 is an abundant number, since it is smaller than the sum of its proper divisors (2579922304).

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

2011820608 is a wasteful number, since it uses less digits than its factorization.

2011820608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28779 (or 28769 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 2011820608 is about 44853.3232659521. The cubic root of 2011820608 is about 1262.3983478983.

The spelling of 2011820608 in words is "two billion, eleven million, eight hundred twenty thousand, six hundred eight".