2011806720 has 924 divisors, whose sum is σ = 9182170584. Its totient is φ = 418037760.

The previous prime is 2011806689. The next prime is 2011806733. The reversal of 2011806720 is 276081102.

It is a tau number, because it is divible by the number of its divisors (924).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 182891515 + ... + 182891525.

Almost surely, 2^2011806720 is an apocalyptic number.

2011806720 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 2011806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591085292).

2011806720 is an abundant number, since it is smaller than the sum of its proper divisors (7170363864).

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

2011806720 is an equidigital number, since it uses as much as digits as its factorization.

2011806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2011806720 is about 44853.1684499546. The cubic root of 2011806720 is about 1262.3954430288.

Adding to 2011806720 its reverse (276081102), we get a palindrome (2287887822).

The spelling of 2011806720 in words is "two billion, eleven million, eight hundred six thousand, seven hundred twenty".