2534214144 has 240 divisors, whose sum is σ = 8570317536. Its totient is φ = 658022400.

The previous prime is 2534214121. The next prime is 2534214149. The reversal of 2534214144 is 4414124352.

It is not an unprimeable number, because it can be changed into a prime (2534214149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826374 + ... + 829434.

Almost surely, 2^2534214144 is an apocalyptic number.

2534214144 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 2534214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285158768).

2534214144 is an abundant number, since it is smaller than the sum of its proper divisors (6036103392).

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

2534214144 is a wasteful number, since it uses less digits than its factorization.

2534214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3084 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 2534214144 is about 50340.9787747517. The cubic root of 2534214144 is about 1363.3722081814.

Adding to 2534214144 its reverse (4414124352), we get a palindrome (6948338496).

The spelling of 2534214144 in words is "two billion, five hundred thirty-four million, two hundred fourteen thousand, one hundred forty-four".