2134444312 has 288 divisors, whose sum is σ = 5745394800. Its totient is φ = 733824000.

The previous prime is 2134444309. The next prime is 2134444313.

2134444312 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134444313) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21133062 + ... + 21133162.

Almost surely, 2^2134444312 is an apocalyptic number.

2134444312 is a gapful number since it is divisible by the number (22) 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 2134444312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872697400).

2134444312 is an abundant number, since it is smaller than the sum of its proper divisors (3610950488).

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

2134444312 is a wasteful number, since it uses less digits than its factorization.

2134444312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 163 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 2134444312 is about 46200.0466666431. The cubic root of 2134444312 is about 1287.5426069665.

It can be divided in two parts, 21344 and 44312, that added together give a palindrome (65656).

The spelling of 2134444312 in words is "two billion, one hundred thirty-four million, four hundred forty-four thousand, three hundred twelve".