2121596066880 has 672 divisors, whose sum is σ = 7950583970784. Its totient is φ = 517103419392.

The previous prime is 2121596066873. The next prime is 2121596066921. The reversal of 2121596066880 is 886606951212.

2121596066880 is a `hidden beast` number, since 2 + 1 + 21 + 5 + 9 + 606 + 6 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 937829376 + 2120658237504 = 30624^2 + 1456248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1545225874 + ... + 1545227246.

It is an arithmetic number, because the mean of its divisors is an integer number (11831226147).

Almost surely, 2^{2121596066880} is an apocalyptic number.

2121596066880 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 2121596066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975291985392).

2121596066880 is an abundant number, since it is smaller than the sum of its proper divisors (5828987903904).

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

2121596066880 is a wasteful number, since it uses less digits than its factorization.

2121596066880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 2121596066880 in words is "two trillion, one hundred twenty-one billion, five hundred ninety-six million, sixty-six thousand, eight hundred eighty".