2452441400 has 96 divisors (see below), whose sum is σ = 5891602080. Its totient is φ = 948672000.

The previous prime is 2452441339. The next prime is 2452441417. The reversal of 2452441400 is 41442542.

It is a self number, because there is not a number n which added to its sum of digits gives 2452441400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1338485 + ... + 1340315.

It is an arithmetic number, because the mean of its divisors is an integer number (61370855).

Almost surely, 2^2452441400 is an apocalyptic number.

2452441400 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 2452441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945801040).

2452441400 is an abundant number, since it is smaller than the sum of its proper divisors (3439160680).

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

2452441400 is a wasteful number, since it uses less digits than its factorization.

2452441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2056 counting only the distinct ones).

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

The square root of 2452441400 is about 49522.1304065162. The cubic root of 2452441400 is about 1348.5473904460.

Adding to 2452441400 its reverse (41442542), we get a palindrome (2493883942).

The spelling of 2452441400 in words is "two billion, four hundred fifty-two million, four hundred forty-one thousand, four hundred".