2103582027680 has 384 divisors, whose sum is σ = 6075786931200. Its totient is φ = 672721403904.

The previous prime is 2103582027647. The next prime is 2103582027793. The reversal of 2103582027680 is 867202853012.

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, 167356436 + ... + 167369004.

It is an arithmetic number, because the mean of its divisors is an integer number (15822361800).

Almost surely, 2^{2103582027680} is an apocalyptic number.

2103582027680 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 2103582027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037893465600).

2103582027680 is an abundant number, since it is smaller than the sum of its proper divisors (3972204903520).

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

2103582027680 is a wasteful number, since it uses less digits than its factorization.

2103582027680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12776 (or 12768 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 2103582027680 in words is "two trillion, one hundred three billion, five hundred eighty-two million, twenty-seven thousand, six hundred eighty".