2468188800 has 1152 divisors, whose sum is σ = 11679163200. Its totient is φ = 503193600.

The previous prime is 2468188757. The next prime is 2468188847. The reversal of 2468188800 is 88818642.

It is a happy number.

2468188800 is a `hidden beast` number, since 2 + 468 + 188 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 46569574 + ... + 46569626.

Almost surely, 2^2468188800 is an apocalyptic number.

2468188800 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 2468188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5839581600).

2468188800 is an abundant number, since it is smaller than the sum of its proper divisors (9210974400).

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

2468188800 is a wasteful number, since it uses less digits than its factorization.

2468188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 2468188800 is about 49680.8695576074. The cubic root of 2468188800 is about 1351.4276255557.

The spelling of 2468188800 in words is "two billion, four hundred sixty-eight million, one hundred eighty-eight thousand, eight hundred".