2011004688 has 240 divisors, whose sum is σ = 6941341440. Its totient is φ = 494726400.

The previous prime is 2011004687. The next prime is 2011004713. The reversal of 2011004688 is 8864001102.

It is not an unprimeable number, because it can be changed into a prime (2011004687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489523 + ... + 493613.

It is an arithmetic number, because the mean of its divisors is an integer number (28922256).

Almost surely, 2^2011004688 is an apocalyptic number.

2011004688 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 2011004688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3470670720).

2011004688 is an abundant number, since it is smaller than the sum of its proper divisors (4930336752).

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

2011004688 is a wasteful number, since it uses less digits than its factorization.

2011004688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4146 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 2011004688 is about 44844.2269194152. The cubic root of 2011004688 is about 1262.2276641351.

The spelling of 2011004688 in words is "two billion, eleven million, four thousand, six hundred eighty-eight".