2131828258560 has 1728 divisors, whose sum is σ = 9306681409536. Its totient is φ = 404660551680.

The previous prime is 2131828258559. The next prime is 2131828258597. The reversal of 2131828258560 is 658528281312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5369844282 + ... + 5369844678.

Almost surely, 2^{2131828258560} is an apocalyptic number.

2131828258560 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 2131828258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653340704768).

2131828258560 is an abundant number, since it is smaller than the sum of its proper divisors (7174853150976).

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

2131828258560 is a wasteful number, since it uses less digits than its factorization.

2131828258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 2131828258560 in words is "two trillion, one hundred thirty-one billion, eight hundred twenty-eight million, two hundred fifty-eight thousand, five hundred sixty".