2643003205416 has 256 divisors, whose sum is σ = 8836638720000. Its totient is φ = 715031006976.

The previous prime is 2643003205399. The next prime is 2643003205483. The reversal of 2643003205416 is 6145023003462.

2643003205416 is a `hidden beast` number, since 2 + 6 + 4 + 30 + 0 + 3 + 205 + 416 = 666.

2643003205416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58266441 + ... + 58311783.

It is an arithmetic number, because the mean of its divisors is an integer number (34518120000).

Almost surely, 2^{2643003205416} 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 2643003205416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418319360000).

2643003205416 is an abundant number, since it is smaller than the sum of its proper divisors (6193635514584).

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

2643003205416 is a wasteful number, since it uses less digits than its factorization.

2643003205416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47413 (or 47403 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 2643003205416 its reverse (6145023003462), we get a palindrome (8788026208878).

The spelling of 2643003205416 in words is "two trillion, six hundred forty-three billion, three million, two hundred five thousand, four hundred sixteen".