2116280105536 has 189 divisors, whose sum is σ = 4433958210171. Its totient is φ = 1002167322624.

The previous prime is 2116280105519. The next prime is 2116280105543. The reversal of 2116280105536 is 6355010826112.

The square root of 2116280105536 is 1454744.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 180842665536 + 1935437440000 = 425256^2 + 1391200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28990138396 + ... + 28990138468.

Almost surely, 2^{2116280105536} is an apocalyptic number.

2116280105536 is the 1454744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116280105536

2116280105536 is an abundant number, since it is smaller than the sum of its proper divisors (2317678104635).

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

2116280105536 is an frugal number, since it uses more digits than its factorization.

2116280105536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 2116280105536 in words is "two trillion, one hundred sixteen billion, two hundred eighty million, one hundred five thousand, five hundred thirty-six".