2133823680 has 336 divisors, whose sum is σ = 7968227904. Its totient is φ = 521994240.

The previous prime is 2133823669. The next prime is 2133823691. The reversal of 2133823680 is 863283312.

2133823680 is a `hidden beast` number, since 213 + 3 + 82 + 368 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2133823669) and next prime (2133823691).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2006829 + ... + 2007891.

It is an arithmetic number, because the mean of its divisors is an integer number (23714964).

Almost surely, 2^2133823680 is an apocalyptic number.

2133823680 is a gapful number since it is divisible by the number (20) 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 2133823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984113952).

2133823680 is an abundant number, since it is smaller than the sum of its proper divisors (5834404224).

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

2133823680 is a wasteful number, since it uses less digits than its factorization.

2133823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1131 counting only the distinct ones).

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

The square root of 2133823680 is about 46193.3293885600. The cubic root of 2133823680 is about 1287.4178020229.

The spelling of 2133823680 in words is "two billion, one hundred thirty-three million, eight hundred twenty-three thousand, six hundred eighty".