2011779440 has 80 divisors (see below), whose sum is σ = 5112101376. Its totient is φ = 730195200.

The previous prime is 2011779401. The next prime is 2011779443. The reversal of 2011779440 is 449771102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2011779440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011779443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 553469 + ... + 557091.

Almost surely, 2^2011779440 is an apocalyptic number.

2011779440 is a gapful number since it is divisible by the number (20) 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 2011779440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556050688).

2011779440 is an abundant number, since it is smaller than the sum of its proper divisors (3100321936).

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

2011779440 is a wasteful number, since it uses less digits than its factorization.

2011779440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 2011779440 is about 44852.8643455465. The cubic root of 2011779440 is about 1262.3897369964.

The spelling of 2011779440 in words is "two billion, eleven million, seven hundred seventy-nine thousand, four hundred forty".