2172780001280 has 768 divisors, whose sum is σ = 6351561216000. Its totient is φ = 697761792000.

The previous prime is 2172780001243. The next prime is 2172780001283. The reversal of 2172780001280 is 821000872712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172780001283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16586106815 + ... + 16586106945.

It is an arithmetic number, because the mean of its divisors is an integer number (8270262000).

Almost surely, 2^{2172780001280} is an apocalyptic number.

2172780001280 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 2172780001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175780608000).

2172780001280 is an abundant number, since it is smaller than the sum of its proper divisors (4178781214720).

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

2172780001280 is a wasteful number, since it uses less digits than its factorization.

2172780001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 38.

Adding to 2172780001280 its reverse (821000872712), we get a palindrome (2993780873992).

The spelling of 2172780001280 in words is "two trillion, one hundred seventy-two billion, seven hundred eighty million, one thousand, two hundred eighty".