2002416 has 40 divisors (see below), whose sum is σ = 5572560. Its totient is φ = 615936.

The previous prime is 2002397. The next prime is 2002417. The reversal of 2002416 is 6142002.

It is a junction number, because it is equal to n+sod(n) for n = 2002395 and 2002404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 981 + ... + 2228.

It is an arithmetic number, because the mean of its divisors is an integer number (139314).

2^2002416 is an apocalyptic number.

2002416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2002416 is an abundant number, since it is smaller than the sum of its proper divisors (3570144).

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

2002416 is a wasteful number, since it uses less digits than its factorization.

2002416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2002416 is about 1415.0674895566. The cubic root of 2002416 is about 126.0428173957.

Adding to 2002416 its reverse (6142002), we get a palindrome (8144418).

The spelling of 2002416 in words is "two million, two thousand, four hundred sixteen".