2011071888 has 140 divisors (see below), whose sum is σ = 6676848448. Its totient is φ = 574568640.

The previous prime is 2011071871. The next prime is 2011071901. The reversal of 2011071888 is 8881701102.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 27 ways as a sum of consecutive naturals, for example, 69333 + ... + 93963.

Almost surely, 2^2011071888 is an apocalyptic number.

2011071888 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 2011071888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338424224).

2011071888 is an abundant number, since it is smaller than the sum of its proper divisors (4665776560).

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

2011071888 is an equidigital number, since it uses as much as digits as its factorization.

2011071888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24664 (or 24643 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The square root of 2011071888 is about 44844.9761734801. The cubic root of 2011071888 is about 1262.2417235676.

The spelling of 2011071888 in words is "two billion, eleven million, seventy-one thousand, eight hundred eighty-eight".