2120011008 has 144 divisors (see below), whose sum is σ = 5767612032. Its totient is φ = 691200000.

The previous prime is 2120011001. The next prime is 2120011079. The reversal of 2120011008 is 8001100212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120011001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11712678 + ... + 11712858.

Almost surely, 2^2120011008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120011008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883806016).

2120011008 is an abundant number, since it is smaller than the sum of its proper divisors (3647601024).

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

2120011008 is a wasteful number, since it uses less digits than its factorization.

2120011008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 2120011008 is about 46043.5772719714. The cubic root of 2120011008 is about 1284.6338811717.

The spelling of 2120011008 in words is "two billion, one hundred twenty million, eleven thousand, eight".