2166135048 has 384 divisors, whose sum is σ = 7862400000. Its totient is φ = 542142720.

The previous prime is 2166135047. The next prime is 2166135089. The reversal of 2166135048 is 8405316612.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2166135047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4340703 + ... + 4341201.

It is an arithmetic number, because the mean of its divisors is an integer number (20475000).

Almost surely, 2^2166135048 is an apocalyptic number.

2166135048 is a gapful number since it is divisible by the number (28) 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 2166135048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200000).

2166135048 is an abundant number, since it is smaller than the sum of its proper divisors (5696264952).

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

2166135048 is a wasteful number, since it uses less digits than its factorization.

2166135048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2166135048 is about 46541.7559617168. The cubic root of 2166135048 is about 1293.8835053154.

The spelling of 2166135048 in words is "two billion, one hundred sixty-six million, one hundred thirty-five thousand, forty-eight".