2011440 has 120 divisors (see below), whose sum is σ = 6852240. Its totient is φ = 487424.

The previous prime is 2011439. The next prime is 2011441. The reversal of 2011440 is 441102.

It is an interprime number because it is at equal distance from previous prime (2011439) and next prime (2011441).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2011441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69346 + ... + 69374.

It is an arithmetic number, because the mean of its divisors is an integer number (57102).

2^2011440 is an apocalyptic number.

2011440 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 2011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426120).

2011440 is an abundant number, since it is smaller than the sum of its proper divisors (4840800).

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

2011440 is a wasteful number, since it uses less digits than its factorization.

2011440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2011440 is about 1418.2524457938. The cubic root of 2011440 is about 126.2318733574.

Adding to 2011440 its reverse (441102), we get a palindrome (2452542).

The spelling of 2011440 in words is "two million, eleven thousand, four hundred forty".