2541216206322 has 48 divisors (see below), whose sum is σ = 5568547723128. Its totient is φ = 837481881600.

The previous prime is 2541216206317. The next prime is 2541216206351. The reversal of 2541216206322 is 2236026121452.

2541216206322 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 2 + 1 + 620 + 6 + 3 + 22 = 666.

2541216206322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1393063238961 + 1148152967361 = 1180281^2 + 1071519^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 742183 + ... + 2373450.

Almost surely, 2^{2541216206322} is an apocalyptic number.

2541216206322 is an abundant number, since it is smaller than the sum of its proper divisors (3027331516806).

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

2541216206322 is a wasteful number, since it uses less digits than its factorization.

2541216206322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116155 (or 3116152 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2541216206322 in words is "two trillion, five hundred forty-one billion, two hundred sixteen million, two hundred six thousand, three hundred twenty-two".