2166248511 has 24 divisors (see below), whose sum is σ = 3786385824. Its totient is φ = 1165040640.

The previous prime is 2166248507. The next prime is 2166248549. The reversal of 2166248511 is 1158426612.

It is a happy number.

2166248511 is a `hidden beast` number, since 2 + 16 + 624 + 8 + 5 + 11 = 666.

It is not a de Polignac number, because 2166248511 - 2² = 2166248507 is a prime.

It is a super-2 number, since 2×2166248511² = 9385265222819434242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166248551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1010250 + ... + 1012391.

It is an arithmetic number, because the mean of its divisors is an integer number (157766076).

Almost surely, 2^2166248511 is an apocalyptic number.

2166248511 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2166248511 is a deficient number, since it is larger than the sum of its proper divisors (1620137313).

2166248511 is a wasteful number, since it uses less digits than its factorization.

2166248511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022671 (or 2022668 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2166248511 is about 46542.9748834343. The cubic root of 2166248511 is about 1293.9060962955.

The spelling of 2166248511 in words is "two billion, one hundred sixty-six million, two hundred forty-eight thousand, five hundred eleven".