2011892064 has 768 divisors, whose sum is σ = 7803371520. Its totient is φ = 437944320.

The previous prime is 2011892063. The next prime is 2011892089. The reversal of 2011892064 is 4602981102.

2011892064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011892063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64899729 + ... + 64899759.

It is an arithmetic number, because the mean of its divisors is an integer number (10160640).

Almost surely, 2^2011892064 is an apocalyptic number.

2011892064 is a gapful number since it is divisible by the number (24) 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 2011892064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901685760).

2011892064 is an abundant number, since it is smaller than the sum of its proper divisors (5791479456).

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

2011892064 is a wasteful number, since it uses less digits than its factorization.

2011892064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2011892064 is about 44854.1198107822. The cubic root of 2011892064 is about 1262.4132937087.

The spelling of 2011892064 in words is "two billion, eleven million, eight hundred ninety-two thousand, sixty-four".