2424022080192 has 168 divisors, whose sum is σ = 7082806008096. Its totient is φ = 792348770304.

The previous prime is 2424022080167. The next prime is 2424022080199. The reversal of 2424022080192 is 2910802204242.

2424022080192 is a `hidden beast` number, since 2 + 4 + 240 + 220 + 8 + 0 + 192 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2424022080199) 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 23 ways as a sum of consecutive naturals, for example, 61555293 + ... + 61594659.

It is an arithmetic number, because the mean of its divisors is an integer number (42159559572).

Almost surely, 2^{2424022080192} 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 2424022080192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541403004048).

2424022080192 is an abundant number, since it is smaller than the sum of its proper divisors (4658783927904).

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

2424022080192 is a wasteful number, since it uses less digits than its factorization.

2424022080192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41455 (or 41442 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2424022080192 in words is "two trillion, four hundred twenty-four billion, twenty-two million, eighty thousand, one hundred ninety-two".