2011440420 has 144 divisors (see below), whose sum is σ = 6672818880. Its totient is φ = 486393600.

The previous prime is 2011440401. The next prime is 2011440421. The reversal of 2011440420 is 240441102.

2011440420 is a `hidden beast` number, since 201 + 1 + 4 + 40 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2011440393 and 2011440402.

It is not an unprimeable number, because it can be changed into a prime (2011440421) 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, 971146 + ... + 973214.

It is an arithmetic number, because the mean of its divisors is an integer number (46339020).

Almost surely, 2^2011440420 is an apocalyptic number.

2011440420 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 2011440420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336409440).

2011440420 is an abundant number, since it is smaller than the sum of its proper divisors (4661378460).

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

2011440420 is a wasteful number, since it uses less digits than its factorization.

2011440420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2011440420 is about 44849.0849404979. The cubic root of 2011440420 is about 1262.3188214340.

Adding to 2011440420 its reverse (240441102), we get a palindrome (2251881522).

The spelling of 2011440420 in words is "two billion, eleven million, four hundred forty thousand, four hundred twenty".