2171898281280 has 1344 divisors, whose sum is σ = 8995940352000. Its totient is φ = 443112284160.

The previous prime is 2171898281269. The next prime is 2171898281281. The reversal of 2171898281280 is 821828981712.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 2171898281280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2171898281281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1725097291 + ... + 1725098549.

It is an arithmetic number, because the mean of its divisors is an integer number (6693408000).

Almost surely, 2^{2171898281280} is an apocalyptic number.

2171898281280 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 2171898281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497970176000).

2171898281280 is an abundant number, since it is smaller than the sum of its proper divisors (6824042070720).

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

2171898281280 is a wasteful number, since it uses less digits than its factorization.

2171898281280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 57.

The spelling of 2171898281280 in words is "two trillion, one hundred seventy-one billion, eight hundred ninety-eight million, two hundred eighty-one thousand, two hundred eighty".