2133824616 has 96 divisors (see below), whose sum is σ = 7205140800. Its totient is φ = 554238720.

The previous prime is 2133824599. The next prime is 2133824617. The reversal of 2133824616 is 6164283312.

2133824616 is a `hidden beast` number, since 2 + 1 + 3 + 38 + 2 + 4 + 616 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2133824617) 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, 186901 + ... + 197988.

It is an arithmetic number, because the mean of its divisors is an integer number (75053550).

Almost surely, 2^2133824616 is an apocalyptic number.

It is an amenable number.

2133824616 is an abundant number, since it is smaller than the sum of its proper divisors (5071316184).

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

2133824616 is a wasteful number, since it uses less digits than its factorization.

2133824616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384919 (or 384912 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2133824616 is about 46193.3395198918. The cubic root of 2133824616 is about 1287.4179902645.

It can be divided in two parts, 21338 and 24616, that added together give a palindrome (45954).

The spelling of 2133824616 in words is "two billion, one hundred thirty-three million, eight hundred twenty-four thousand, six hundred sixteen".