2011839456 has 96 divisors (see below), whose sum is σ = 5776759296. Its totient is φ = 608000000.

The previous prime is 2011839439. The next prime is 2011839493. The reversal of 2011839456 is 6549381102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421081 + ... + 425831.

It is an arithmetic number, because the mean of its divisors is an integer number (60174576).

Almost surely, 2^2011839456 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 2011839456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888379648).

2011839456 is an abundant number, since it is smaller than the sum of its proper divisors (3764919840).

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

2011839456 is a wasteful number, since it uses less digits than its factorization.

2011839456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5176 (or 5168 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 2011839456 is about 44853.5333725226. The cubic root of 2011839456 is about 1262.4022901997.

The spelling of 2011839456 in words is "two billion, eleven million, eight hundred thirty-nine thousand, four hundred fifty-six".