2771422025344 has 256 divisors, whose sum is σ = 6732258508800. Its totient is φ = 1111248875520.

The previous prime is 2771422025341. The next prime is 2771422025381. The reversal of 2771422025344 is 4435202241772.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 2771422025344.

It is not an unprimeable number, because it can be changed into a prime (2771422025341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141888859 + ... + 141908389.

It is an arithmetic number, because the mean of its divisors is an integer number (26297884800).

Almost surely, 2^{2771422025344} 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 2771422025344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366129254400).

2771422025344 is an abundant number, since it is smaller than the sum of its proper divisors (3960836483456).

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

2771422025344 is a wasteful number, since it uses less digits than its factorization.

2771422025344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19751 (or 19739 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 43.

The spelling of 2771422025344 in words is "two trillion, seven hundred seventy-one billion, four hundred twenty-two million, twenty-five thousand, three hundred forty-four".