2122248391680 has 352 divisors, whose sum is σ = 7133541237504. Its totient is φ = 537825705984.

The previous prime is 2122248391597. The next prime is 2122248391741. The reversal of 2122248391680 is 861938422212.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24394339 + ... + 24481181.

It is an arithmetic number, because the mean of its divisors is an integer number (20265742152).

Almost surely, 2^{2122248391680} is an apocalyptic number.

2122248391680 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 2122248391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566770618752).

2122248391680 is an abundant number, since it is smaller than the sum of its proper divisors (5011292845824).

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

2122248391680 is a wasteful number, since it uses less digits than its factorization.

2122248391680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86951 (or 86933 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 2122248391680 in words is "two trillion, one hundred twenty-two billion, two hundred forty-eight million, three hundred ninety-one thousand, six hundred eighty".