2135165184 has 252 divisors, whose sum is σ = 6776001036. Its totient is φ = 668860416.

The previous prime is 2135165143. The next prime is 2135165203. The reversal of 2135165184 is 4815615312.

2135165184 is a `hidden beast` number, since 2 + 13 + 516 + 51 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1194393600 + 940771584 = 34560^2 + 30672^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3172272 + ... + 3172944.

It is an arithmetic number, because the mean of its divisors is an integer number (26888893).

Almost surely, 2^2135165184 is an apocalyptic number.

2135165184 is a gapful number since it is divisible by the number (24) 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 2135165184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388000518).

2135165184 is an abundant number, since it is smaller than the sum of its proper divisors (4640835852).

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

2135165184 is an frugal number, since it uses more digits than its factorization.

2135165184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 695 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 2135165184 is about 46207.8476451782. The cubic root of 2135165184 is about 1287.6875391376.

The spelling of 2135165184 in words is "two billion, one hundred thirty-five million, one hundred sixty-five thousand, one hundred eighty-four".