2002114304 has 72 divisors (see below), whose sum is σ = 4186684320. Its totient is φ = 953745408.

The previous prime is 2002114277. The next prime is 2002114321. The reversal of 2002114304 is 4034112002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1983752 + ... + 1984760.

Almost surely, 2^2002114304 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 2002114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093342160).

2002114304 is an abundant number, since it is smaller than the sum of its proper divisors (2184570016).

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

2002114304 is a wasteful number, since it uses less digits than its factorization.

2002114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2002114304 is about 44744.9919432332. The cubic root of 2002114304 is about 1260.3648695559.

Adding to 2002114304 its reverse (4034112002), we get a palindrome (6036226306).

The spelling of 2002114304 in words is "two billion, two million, one hundred fourteen thousand, three hundred four".