2133855360 has 1024 divisors, whose sum is σ = 9870336000. Its totient is φ = 423346176.

The previous prime is 2133855307. The next prime is 2133855389. The reversal of 2133855360 is 635583312.

2133855360 is a `hidden beast` number, since 2 + 13 + 38 + 553 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36167011 + ... + 36167069.

It is an arithmetic number, because the mean of its divisors is an integer number (9639000).

Almost surely, 2^2133855360 is an apocalyptic number.

2133855360 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 2133855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935168000).

2133855360 is an abundant number, since it is smaller than the sum of its proper divisors (7736480640).

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

2133855360 is a wasteful number, since it uses less digits than its factorization.

2133855360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2133855360 is about 46193.6722939409. The cubic root of 2133855360 is about 1287.4241732451.

The spelling of 2133855360 in words is "two billion, one hundred thirty-three million, eight hundred fifty-five thousand, three hundred sixty".