2171724985248 has 384 divisors, whose sum is σ = 7432955228160. Its totient is φ = 538788741120.

The previous prime is 2171724985229. The next prime is 2171724985291. The reversal of 2171724985248 is 8425894271712.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2171724985191 and 2171724985200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 555284413 + ... + 555288323.

It is an arithmetic number, because the mean of its divisors is an integer number (19356654240).

Almost surely, 2^{2171724985248} is an apocalyptic number.

2171724985248 is a gapful number since it is divisible by the number (28) 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 2171724985248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716477614080).

2171724985248 is an abundant number, since it is smaller than the sum of its proper divisors (5261230242912).

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

2171724985248 is a wasteful number, since it uses less digits than its factorization.

2171724985248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7700 (or 7692 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 60.

The spelling of 2171724985248 in words is "two trillion, one hundred seventy-one billion, seven hundred twenty-four million, nine hundred eighty-five thousand, two hundred forty-eight".