2122453269504 has 440 divisors, whose sum is σ = 6901847792400. Its totient is φ = 647122452480.

The previous prime is 2122453269487. The next prime is 2122453269529. The reversal of 2122453269504 is 4059623542212.

2122453269504 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 532 + 69 + 50 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2122453269504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45678924 + ... + 45725364.

It is an arithmetic number, because the mean of its divisors is an integer number (15686017710).

Almost surely, 2^{2122453269504} is an apocalyptic number.

2122453269504 is a gapful number since it is divisible by the number (24) 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 2122453269504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450923896200).

2122453269504 is an abundant number, since it is smaller than the sum of its proper divisors (4779394522896).

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

2122453269504 is a wasteful number, since it uses less digits than its factorization.

2122453269504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46521 (or 46494 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2122453269504 in words is "two trillion, one hundred twenty-two billion, four hundred fifty-three million, two hundred sixty-nine thousand, five hundred four".