2481415200 has 864 divisors, whose sum is σ = 10748687040. Its totient is φ = 530841600.

The previous prime is 2481415187. The next prime is 2481415267. The reversal of 2481415200 is 25141842.

2481415200 is a `hidden beast` number, since 2 + 48 + 1 + 415 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25581552 + ... + 25581648.

It is an arithmetic number, because the mean of its divisors is an integer number (12440610).

Almost surely, 2^2481415200 is an apocalyptic number.

2481415200 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 2481415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374343520).

2481415200 is an abundant number, since it is smaller than the sum of its proper divisors (8267271840).

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

2481415200 is a wasteful number, since it uses less digits than its factorization.

2481415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2481415200 is about 49813.8053153942. The cubic root of 2481415200 is about 1353.8373127336.

The spelling of 2481415200 in words is "two billion, four hundred eighty-one million, four hundred fifteen thousand, two hundred".