2011311648 has 120 divisors (see below), whose sum is σ = 5929138908. Its totient is φ = 668860416.

The previous prime is 2011311647. The next prime is 2011311683. The reversal of 2011311648 is 8461131102.

It is a happy number.

2011311648 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 3 + 11 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2002383504 + 8928144 = 44748^2 + 2988^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2011311641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1743840 + ... + 1744992.

Almost surely, 2^2011311648 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 2011311648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964569454).

2011311648 is an abundant number, since it is smaller than the sum of its proper divisors (3917827260).

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

2011311648 is a wasteful number, since it uses less digits than its factorization.

2011311648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2011311648 is about 44847.6493029456. The cubic root of 2011311648 is about 1262.2918830624.

The spelling of 2011311648 in words is "two billion, eleven million, three hundred eleven thousand, six hundred forty-eight".