2002300416 has 240 divisors, whose sum is σ = 6066897408. Its totient is φ = 634982400.

The previous prime is 2002300411. The next prime is 2002300423. The reversal of 2002300416 is 6140032002.

It is a happy number.

2002300416 is a `hidden beast` number, since 20 + 0 + 230 + 0 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002300411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15284671 + ... + 15284801.

Almost surely, 2^2002300416 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 2002300416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033448704).

2002300416 is an abundant number, since it is smaller than the sum of its proper divisors (4064596992).

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

2002300416 is a wasteful number, since it uses less digits than its factorization.

2002300416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2002300416 is about 44747.0715913343. The cubic root of 2002300416 is about 1260.4039218981.

Adding to 2002300416 its reverse (6140032002), we get a palindrome (8142332418).

The spelling of 2002300416 in words is "two billion, two million, three hundred thousand, four hundred sixteen".