2134224312 has 64 divisors (see below), whose sum is σ = 5826072960. Its totient is φ = 646128000.

The previous prime is 2134224311. The next prime is 2134224329.

It is a happy number.

2134224312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134224311) 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, 335562 + ... + 341862.

It is an arithmetic number, because the mean of its divisors is an integer number (91032390).

Almost surely, 2^2134224312 is an apocalyptic number.

2134224312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2134224312 is an abundant number, since it is smaller than the sum of its proper divisors (3691848648).

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

2134224312 is a wasteful number, since it uses less digits than its factorization.

2134224312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7604 (or 7600 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2134224312 is about 46197.6656553121. The cubic root of 2134224312 is about 1287.4983692065.

It can be divided in two parts, 21342 and 24312, that added together give a palindrome (45654).

The spelling of 2134224312 in words is "two billion, one hundred thirty-four million, two hundred twenty-four thousand, three hundred twelve".