2297821680000 has 2880 divisors, whose sum is σ = 10880325181440. Its totient is φ = 459648000000.

The previous prime is 2297821679977. The next prime is 2297821680001. The reversal of 2297821680000 is 861287922.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2297821680001) 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 359 ways as a sum of consecutive naturals, for example, 12030479905 + ... + 12030480095.

It is an arithmetic number, because the mean of its divisors is an integer number (3777890688).

Almost surely, 2^{2297821680000} is an apocalyptic number.

2297821680000 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 2297821680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5440162590720).

2297821680000 is an abundant number, since it is smaller than the sum of its proper divisors (8582503501440).

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

2297821680000 is a wasteful number, since it uses less digits than its factorization.

2297821680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2297821680000 in words is "two trillion, two hundred ninety-seven billion, eight hundred twenty-one million, six hundred eighty thousand".