2643005941920 has 1152 divisors, whose sum is σ = 10196822764800. Its totient is φ = 638850760704.

The previous prime is 2643005941843. The next prime is 2643005941931. The reversal of 2643005941920 is 291495003462.

2643005941920 is a `hidden beast` number, since 2 + 6 + 4 + 30 + 0 + 594 + 1 + 9 + 20 = 666.

2643005941920 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3903996622 + ... + 3903997298.

It is an arithmetic number, because the mean of its divisors is an integer number (8851408650).

Almost surely, 2^{2643005941920} is an apocalyptic number.

2643005941920 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 2643005941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098411382400).

2643005941920 is an abundant number, since it is smaller than the sum of its proper divisors (7553816822880).

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

2643005941920 is a wasteful number, since it uses less digits than its factorization.

2643005941920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2643005941920 in words is "two trillion, six hundred forty-three billion, five million, nine hundred forty-one thousand, nine hundred twenty".