2481578400 has 288 divisors, whose sum is σ = 9775624320. Its totient is φ = 533790720.

The previous prime is 2481578381. The next prime is 2481578441. The reversal of 2481578400 is 48751842.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281256 + ... + 289944.

It is an arithmetic number, because the mean of its divisors is an integer number (33943140).

Almost surely, 2^2481578400 is an apocalyptic number.

2481578400 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 2481578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887812160).

2481578400 is an abundant number, since it is smaller than the sum of its proper divisors (7294045920).

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

2481578400 is a wasteful number, since it uses less digits than its factorization.

2481578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8736 (or 8723 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 2481578400 is about 49815.4433885718. The cubic root of 2481578400 is about 1353.8669922227.

The spelling of 2481578400 in words is "two billion, four hundred eighty-one million, five hundred seventy-eight thousand, four hundred".