2452414400 has 84 divisors (see below), whose sum is σ = 6124806648. Its totient is φ = 966282240.

The previous prime is 2452414369. The next prime is 2452414403. The reversal of 2452414400 is 44142542.

It is a self number, because there is not a number n which added to its sum of digits gives 2452414400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452414403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95762 + ... + 118638.

Almost surely, 2^2452414400 is an apocalyptic number.

2452414400 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 2452414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062403324).

2452414400 is an abundant number, since it is smaller than the sum of its proper divisors (3672392248).

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

2452414400 is a wasteful number, since it uses less digits than its factorization.

2452414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22966 (or 22951 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 2452414400 is about 49521.8578003693. The cubic root of 2452414400 is about 1348.5424415118.

Adding to 2452414400 its reverse (44142542), we get a palindrome (2496556942).

The spelling of 2452414400 in words is "two billion, four hundred fifty-two million, four hundred fourteen thousand, four hundred".