2126808466560 has 384 divisors, whose sum is σ = 7434481017600. Its totient is φ = 560195371008.

The previous prime is 2126808466499. The next prime is 2126808466571. The reversal of 2126808466560 is 656648086212.

2126808466560 is a `hidden beast` number, since 2 + 12 + 6 + 8 + 0 + 8 + 4 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 2126808466497 and 2126808466506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305616361 + ... + 305623319.

It is an arithmetic number, because the mean of its divisors is an integer number (19360627650).

Almost surely, 2^{2126808466560} is an apocalyptic number.

2126808466560 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 2126808466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717240508800).

2126808466560 is an abundant number, since it is smaller than the sum of its proper divisors (5307672551040).

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

2126808466560 is a wasteful number, since it uses less digits than its factorization.

2126808466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628 (or 7613 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2126808466560 in words is "two trillion, one hundred twenty-six billion, eight hundred eight million, four hundred sixty-six thousand, five hundred sixty".