2534400 has 198 divisors, whose sum is σ = 9899292. Its totient is φ = 614400.

The previous prime is 2534351. The next prime is 2534401. The reversal of 2534400 is 44352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (198).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2534401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230395 + ... + 230405.

2^2534400 is an apocalyptic number.

2534400 is a gapful number since it is divisible by the number (20) 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 2534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949646).

2534400 is an abundant number, since it is smaller than the sum of its proper divisors (7364892).

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

2534400 is a wasteful number, since it uses less digits than its factorization.

2534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2534400 is about 1591.9798993706. The cubic root of 2534400 is about 136.3405536687.

Adding to 2534400 its reverse (44352), we get a palindrome (2578752).

The spelling of 2534400 in words is "two million, five hundred thirty-four thousand, four hundred".