2011000416 has 48 divisors (see below), whose sum is σ = 5282094384. Its totient is φ = 669924864.

The previous prime is 2011000367. The next prime is 2011000417. The reversal of 2011000416 is 6140001102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2011000395 and 2011000404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011000417) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 180150 + ... + 190986.

It is an arithmetic number, because the mean of its divisors is an integer number (110043633).

Almost surely, 2^2011000416 is an apocalyptic number.

It is an amenable number.

2011000416 is an abundant number, since it is smaller than the sum of its proper divisors (3271093968).

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

2011000416 is a wasteful number, since it uses less digits than its factorization.

2011000416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12783 (or 12775 counting only the distinct ones).

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

The square root of 2011000416 is about 44844.1792878407. The cubic root of 2011000416 is about 1262.2267703463.

Adding to 2011000416 its reverse (6140001102), we get a palindrome (8151001518).

The spelling of 2011000416 in words is "two billion, eleven million, four hundred sixteen", and thus it is an aban number.