2122834065408 has 864 divisors, whose sum is σ = 7446842282880. Its totient is φ = 602392412160.

The previous prime is 2122834065349. The next prime is 2122834065427. The reversal of 2122834065408 is 8045604382212.

2122834065408 is a `hidden beast` number, since 2 + 1 + 22 + 83 + 4 + 0 + 6 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6413395803 + ... + 6413396133.

It is an arithmetic number, because the mean of its divisors is an integer number (8619030420).

Almost surely, 2^{2122834065408} is an apocalyptic number.

2122834065408 is a gapful number since it is divisible by the number (28) 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 2122834065408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723421141440).

2122834065408 is an abundant number, since it is smaller than the sum of its proper divisors (5324008217472).

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

2122834065408 is an equidigital number, since it uses as much as digits as its factorization.

2122834065408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2122834065408 in words is "two trillion, one hundred twenty-two billion, eight hundred thirty-four million, sixty-five thousand, four hundred eight".