2534414400 has 1008 divisors, whose sum is σ = 11603126400. Its totient is φ = 526417920.

The previous prime is 2534414381. The next prime is 2534414423. The reversal of 2534414400 is 44144352.

It is a happy number.

2534414400 is a `hidden beast` number, since 253 + 4 + 4 + 1 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87393586 + ... + 87393614.

Almost surely, 2^2534414400 is an apocalyptic number.

2534414400 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 2534414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801563200).

2534414400 is an abundant number, since it is smaller than the sum of its proper divisors (9068712000).

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

2534414400 is a wasteful number, since it uses less digits than its factorization.

2534414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2534414400 is about 50342.9677313525. The cubic root of 2534414400 is about 1363.4081188896.

Adding to 2534414400 its reverse (44144352), we get a palindrome (2578558752).

The spelling of 2534414400 in words is "two billion, five hundred thirty-four million, four hundred fourteen thousand, four hundred".