2122935544800 has 540 divisors, whose sum is σ = 9005935692600. Its totient is φ = 485241684480.

The previous prime is 2122935544789. The next prime is 2122935544853. The reversal of 2122935544800 is 84455392212.

2122935544800 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 93 + 554 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2840901 + ... + 3509499.

It is an arithmetic number, because the mean of its divisors is an integer number (16677658690).

Almost surely, 2^{2122935544800} is an apocalyptic number.

2122935544800 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 2122935544800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502967846300).

2122935544800 is an abundant number, since it is smaller than the sum of its proper divisors (6883000147800).

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

2122935544800 is a wasteful number, since it uses less digits than its factorization.

2122935544800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668645 (or 668616 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2122935544800 in words is "two trillion, one hundred twenty-two billion, nine hundred thirty-five million, five hundred forty-four thousand, eight hundred".