2122455235264 has 112 divisors (see below), whose sum is σ = 5184807763968. Its totient is φ = 839471367168.

The previous prime is 2122455235237. The next prime is 2122455235267. The reversal of 2122455235264 is 4625325542212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 2122455235264.

It is not an unprimeable number, because it can be changed into a prime (2122455235267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28751169 + ... + 28824895.

It is an arithmetic number, because the mean of its divisors is an integer number (46292926464).

Almost surely, 2^{2122455235264} 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 2122455235264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592403881984).

2122455235264 is an abundant number, since it is smaller than the sum of its proper divisors (3062352528704).

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

2122455235264 is a wasteful number, since it uses less digits than its factorization.

2122455235264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78702 (or 78692 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 43.

The spelling of 2122455235264 in words is "two trillion, one hundred twenty-two billion, four hundred fifty-five million, two hundred thirty-five thousand, two hundred sixty-four".