2011416 has 64 divisors (see below), whose sum is σ = 5788800. Its totient is φ = 576000.

The previous prime is 2011409. The next prime is 2011417. The reversal of 2011416 is 6141102.

It is a junction number, because it is equal to n+sod(n) for n = 2011395 and 2011404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4816 + ... + 5216.

It is an arithmetic number, because the mean of its divisors is an integer number (90450).

2^2011416 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 2011416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894400).

2011416 is an abundant number, since it is smaller than the sum of its proper divisors (3777384).

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

2011416 is a wasteful number, since it uses less digits than its factorization.

2011416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2011416 is about 1418.2439846514. The cubic root of 2011416 is about 126.2313712997.

Adding to 2011416 its reverse (6141102), we get a palindrome (8152518).

The spelling of 2011416 in words is "two million, eleven thousand, four hundred sixteen".