2133100224 has 224 divisors, whose sum is σ = 6601236480. Its totient is φ = 674150400.

The previous prime is 2133100199. The next prime is 2133100231. The reversal of 2133100224 is 4220013312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2133100197 and 2133100206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7590964 + ... + 7591244.

Almost surely, 2^2133100224 is an apocalyptic number.

2133100224 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 2133100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300618240).

2133100224 is an abundant number, since it is smaller than the sum of its proper divisors (4468136256).

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

2133100224 is a wasteful number, since it uses less digits than its factorization.

2133100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2133100224 is about 46185.4979836745. The cubic root of 2133100224 is about 1287.2722893107.

Adding to 2133100224 its reverse (4220013312), we get a palindrome (6353113536).

The spelling of 2133100224 in words is "two billion, one hundred thirty-three million, one hundred thousand, two hundred twenty-four".