2002360416 has 96 divisors (see below), whose sum is σ = 6045661440. Its totient is φ = 568429056.

The previous prime is 2002360397. The next prime is 2002360421. The reversal of 2002360416 is 6140632002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96015 + ... + 114993.

It is an arithmetic number, because the mean of its divisors is an integer number (62975640).

Almost surely, 2^2002360416 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 2002360416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022830720).

2002360416 is an abundant number, since it is smaller than the sum of its proper divisors (4043301024).

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

2002360416 is a wasteful number, since it uses less digits than its factorization.

2002360416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19156 (or 19148 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2002360416 is about 44747.7420212462. The cubic root of 2002360416 is about 1260.4165113309.

Adding to 2002360416 its reverse (6140632002), we get a palindrome (8142992418).

The spelling of 2002360416 in words is "two billion, two million, three hundred sixty thousand, four hundred sixteen".