2134354144 has 96 divisors (see below), whose sum is σ = 4660135200. Its totient is φ = 956178432.

The previous prime is 2134354141. The next prime is 2134354163. The reversal of 2134354144 is 4414534312.

It is a super-2 number, since 2×2134354144² = 9110935224019945472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134354141) 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, 2034132 + ... + 2035180.

It is an arithmetic number, because the mean of its divisors is an integer number (48543075).

Almost surely, 2^2134354144 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 2134354144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330067600).

2134354144 is an abundant number, since it is smaller than the sum of its proper divisors (2525781056).

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

2134354144 is a wasteful number, since it uses less digits than its factorization.

2134354144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1204 counting only the distinct ones).

The product of its digits is 23040, while the sum is 31.

The square root of 2134354144 is about 46199.0708131668. The cubic root of 2134354144 is about 1287.5244762871.

Adding to 2134354144 its reverse (4414534312), we get a palindrome (6548888456).

The spelling of 2134354144 in words is "two billion, one hundred thirty-four million, three hundred fifty-four thousand, one hundred forty-four".