2463472800 has 432 divisors, whose sum is σ = 9066919680. Its totient is φ = 628992000.

The previous prime is 2463472793. The next prime is 2463472811. The reversal of 2463472800 is 82743642.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31183161 + ... + 31183239.

It is an arithmetic number, because the mean of its divisors is an integer number (20988240).

Almost surely, 2^2463472800 is an apocalyptic number.

2463472800 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 2463472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533459840).

2463472800 is an abundant number, since it is smaller than the sum of its proper divisors (6603446880).

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

2463472800 is a wasteful number, since it uses less digits than its factorization.

2463472800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2463472800 is about 49633.3839265469. The cubic root of 2463472800 is about 1350.5663467373.

The spelling of 2463472800 in words is "two billion, four hundred sixty-three million, four hundred seventy-two thousand, eight hundred".