2034132144 has 320 divisors, whose sum is σ = 6479585280. Its totient is φ = 542248960.

The previous prime is 2034132131. The next prime is 2034132151. The reversal of 2034132144 is 4412314302.

2034132144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12180349 + ... + 12180515.

It is an arithmetic number, because the mean of its divisors is an integer number (20248704).

Almost surely, 2^2034132144 is an apocalyptic number.

2034132144 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 2034132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239792640).

2034132144 is an abundant number, since it is smaller than the sum of its proper divisors (4445453136).

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

2034132144 is a wasteful number, since it uses less digits than its factorization.

2034132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

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

The square root of 2034132144 is about 45101.3541260127. The cubic root of 2034132144 is about 1267.0479606801.

Adding to 2034132144 its reverse (4412314302), we get a palindrome (6446446446).

The spelling of 2034132144 in words is "two billion, thirty-four million, one hundred thirty-two thousand, one hundred forty-four".