2643633616 has 80 divisors (see below), whose sum is σ = 5850875520. Its totient is φ = 1147829760.

The previous prime is 2643633613. The next prime is 2643633617. The reversal of 2643633616 is 6163363462.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2643633613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287295 + ... + 296353.

It is an arithmetic number, because the mean of its divisors is an integer number (73135944).

Almost surely, 2^2643633616 is an apocalyptic number.

2643633616 is a gapful number since it is divisible by the number (26) 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 2643633616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925437760).

2643633616 is an abundant number, since it is smaller than the sum of its proper divisors (3207241904).

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

2643633616 is a wasteful number, since it uses less digits than its factorization.

2643633616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164 (or 9158 counting only the distinct ones).

The product of its digits is 279936, while the sum is 40.

The square root of 2643633616 is about 51416.2777338072. The cubic root of 2643633616 is about 1382.7184417871.

The spelling of 2643633616 in words is "two billion, six hundred forty-three million, six hundred thirty-three thousand, six hundred sixteen".