2134200224 has 96 divisors (see below), whose sum is σ = 4670655696. Its totient is φ = 953671680.

The previous prime is 2134200197. The next prime is 2134200227. The reversal of 2134200224 is 4220024312.

It can be written as a sum of positive squares in 8 ways, for example, as 79210000 + 2054990224 = 8900^2 + 45332^2 .

It is a super-3 number, since 3×2134200224³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2134200196 and 2134200205.

It is not an unprimeable number, because it can be changed into a prime (2134200227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2677394 + ... + 2678190.

Almost surely, 2^2134200224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335327848).

2134200224 is an abundant number, since it is smaller than the sum of its proper divisors (2536455472).

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

2134200224 is a wasteful number, since it uses less digits than its factorization.

2134200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2134200224 is about 46197.4049487631. The cubic root of 2134200224 is about 1287.4935253893.

Adding to 2134200224 its reverse (4220024312), we get a palindrome (6354224536).

The spelling of 2134200224 in words is "two billion, one hundred thirty-four million, two hundred thousand, two hundred twenty-four".