2162792448000 has 480 divisors, whose sum is σ = 7997486253120. Its totient is φ = 576729907200.

The previous prime is 2162792447923. The next prime is 2162792448029. The reversal of 2162792448000 is 8442972612.

2162792448000 is a `hidden beast` number, since 2 + 162 + 7 + 9 + 2 + 4 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 55276444 + ... + 55315556.

It is an arithmetic number, because the mean of its divisors is an integer number (16661429694).

Almost surely, 2^{2162792448000} is an apocalyptic number.

2162792448000 is a gapful number since it is divisible by the number (20) 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 2162792448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998743126560).

2162792448000 is an abundant number, since it is smaller than the sum of its proper divisors (5834693805120).

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

2162792448000 is an frugal number, since it uses more digits than its factorization.

2162792448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39165 (or 39123 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2162792448000 in words is "two trillion, one hundred sixty-two billion, seven hundred ninety-two million, four hundred forty-eight thousand".