2002616640 has 336 divisors, whose sum is σ = 7162117248. Its totient is φ = 513257472.

The previous prime is 2002616639. The next prime is 2002616653. The reversal of 2002616640 is 466162002.

It is a happy number.

2002616640 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 6 + 16 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12755442 + ... + 12755598.

Almost surely, 2^2002616640 is an apocalyptic number.

2002616640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581058624).

2002616640 is an abundant number, since it is smaller than the sum of its proper divisors (5159500608).

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

2002616640 is a wasteful number, since it uses less digits than its factorization.

2002616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2002616640 is about 44750.6049121126. The cubic root of 2002616640 is about 1260.4702704151.

Adding to 2002616640 its reverse (466162002), we get a palindrome (2468778642).

The spelling of 2002616640 in words is "two billion, two million, six hundred sixteen thousand, six hundred forty".