2011728768 has 256 divisors, whose sum is σ = 6317015040. Its totient is φ = 555448320.

The previous prime is 2011728767. The next prime is 2011728769. The reversal of 2011728768 is 8678271102.

It is an interprime number because it is at equal distance from previous prime (2011728767) and next prime (2011728769).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011728767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15840321 + ... + 15840447.

It is an arithmetic number, because the mean of its divisors is an integer number (24675840).

Almost surely, 2^2011728768 is an apocalyptic number.

2011728768 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 2011728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158507520).

2011728768 is an abundant number, since it is smaller than the sum of its proper divisors (4305286272).

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

2011728768 is a wasteful number, since it uses less digits than its factorization.

2011728768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 2011728768 is about 44852.2994728252. The cubic root of 2011728768 is about 1262.3791380297.

The spelling of 2011728768 in words is "two billion, eleven million, seven hundred twenty-eight thousand, seven hundred sixty-eight".