2534400000 has 504 divisors, whose sum is σ = 9982751688. Its totient is φ = 614400000.

The previous prime is 2534399971. The next prime is 2534400007. The reversal of 2534400000 is 44352.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534400007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230399995 + ... + 230400005.

It is an arithmetic number, because the mean of its divisors is an integer number (19807047).

Almost surely, 2^2534400000 is an apocalyptic number.

2534400000 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 2534400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4991375844).

2534400000 is an abundant number, since it is smaller than the sum of its proper divisors (7448351688).

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

2534400000 is an frugal number, since it uses more digits than its factorization.

2534400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 21 counting only the distinct ones).

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

The square root of 2534400000 is about 50342.8247121673. The cubic root of 2534400000 is about 1363.4055366870.

Adding to 2534400000 its reverse (44352), we get a palindrome (2534444352).

The spelling of 2534400000 in words is "two billion, five hundred thirty-four million, four hundred thousand".