2000416 has 24 divisors (see below), whose sum is σ = 4297104. Its totient is φ = 909120.

The previous prime is 2000413. The next prime is 2000417. The reversal of 2000416 is 6140002.

It is a junction number, because it is equal to n+sod(n) for n = 2000396 and 2000405.

It is not an unprimeable number, because it can be changed into a prime (2000413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2490 + ... + 3193.

It is an arithmetic number, because the mean of its divisors is an integer number (179046).

2^2000416 is an apocalyptic number.

It is an amenable number.

2000416 is an abundant number, since it is smaller than the sum of its proper divisors (2296688).

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

2000416 is a wasteful number, since it uses less digits than its factorization.

2000416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5704 (or 5696 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2000416 is about 1414.3606329363. The cubic root of 2000416 is about 126.0008398365. Note that the first 3 decimals are identical.

Adding to 2000416 its reverse (6140002), we get a palindrome (8140418).

The spelling of 2000416 in words is "two million, four hundred sixteen", and thus it is an aban number.