2116655541 has 216 divisors, whose sum is σ = 4374010368. Its totient is φ = 963705600.

The previous prime is 2116655539. The next prime is 2116655543. The reversal of 2116655541 is 1455566112.

2116655541 is a `hidden beast` number, since 2 + 1 + 1 + 66 + 55 + 541 = 666.

It is an interprime number because it is at equal distance from previous prime (2116655539) and next prime (2116655543).

It is not a de Polignac number, because 2116655541 - 2¹ = 2116655539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2116655496 and 2116655505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116655543) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 39936871 + ... + 39936923.

It is an arithmetic number, because the mean of its divisors is an integer number (20250048).

Almost surely, 2^2116655541 is an apocalyptic number.

2116655541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2116655541 is an abundant number, since it is smaller than the sum of its proper divisors (2257354827).

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

2116655541 is a wasteful number, since it uses less digits than its factorization.

2116655541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 2116655541 is about 46007.1248938683. The cubic root of 2116655541 is about 1283.9557679030.

The spelling of 2116655541 in words is "two billion, one hundred sixteen million, six hundred fifty-five thousand, five hundred forty-one".