2454720400 has 60 divisors (see below), whose sum is σ = 6433610544. Its totient is φ = 892624000.

The previous prime is 2454720391. The next prime is 2454720407. The reversal of 2454720400 is 40274542.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2454720407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274546 + ... + 283345.

Almost surely, 2^2454720400 is an apocalyptic number.

2454720400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2454720400 is an abundant number, since it is smaller than the sum of its proper divisors (3978890144).

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

2454720400 is a wasteful number, since it uses less digits than its factorization.

2454720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557920 (or 557909 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 2454720400 is about 49545.1349781187. The cubic root of 2454720400 is about 1348.9649862885.

Adding to 2454720400 its reverse (40274542), we get a palindrome (2494994942).

The spelling of 2454720400 in words is "two billion, four hundred fifty-four million, seven hundred twenty thousand, four hundred".