2171580038628 has 864 divisors, whose sum is σ = 7343318062080. Its totient is φ = 494010316800.

The previous prime is 2171580038603. The next prime is 2171580038651. The reversal of 2171580038628 is 8268300851712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1519649418 + ... + 1519650846.

It is an arithmetic number, because the mean of its divisors is an integer number (8499210720).

Almost surely, 2^{2171580038628} is an apocalyptic number.

2171580038628 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 2171580038628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671659031040).

2171580038628 is an abundant number, since it is smaller than the sum of its proper divisors (5171738023452).

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

2171580038628 is a wasteful number, since it uses less digits than its factorization.

2171580038628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 2171580038628 in words is "two trillion, one hundred seventy-one billion, five hundred eighty million, thirty-eight thousand, six hundred twenty-eight".