2478811200 has 168 divisors, whose sum is σ = 8486534208. Its totient is φ = 632248320.

The previous prime is 2478811199. The next prime is 2478811201. The reversal of 2478811200 is 21188742.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2478811199) and next prime (2478811201).

It is a super-2 number, since 2×2478811200² = 12289009930490880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2478811201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99174 + ... + 121626.

Almost surely, 2^2478811200 is an apocalyptic number.

2478811200 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 2478811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243267104).

2478811200 is an abundant number, since it is smaller than the sum of its proper divisors (6007723008).

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

2478811200 is a wasteful number, since it uses less digits than its factorization.

2478811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22501 (or 22486 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 2478811200 is about 49787.6611220089. The cubic root of 2478811200 is about 1353.3635741636.

Adding to 2478811200 its reverse (21188742), we get a palindrome (2499999942).

The spelling of 2478811200 in words is "two billion, four hundred seventy-eight million, eight hundred eleven thousand, two hundred".