2401066800 has 300 divisors, whose sum is σ = 9402016536. Its totient is φ = 581990400.

The previous prime is 2401066781. The next prime is 2401066883. The reversal of 2401066800 is 86601042.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 353032 + ... + 359768.

Almost surely, 2^2401066800 is an apocalyptic number.

2401066800 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 2401066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701008268).

2401066800 is an abundant number, since it is smaller than the sum of its proper divisors (7000949736).

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

2401066800 is a wasteful number, since it uses less digits than its factorization.

2401066800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6778 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2401066800 is about 49000.6816279121. The cubic root of 2401066800 is about 1339.0642460765.

Adding to 2401066800 its reverse (86601042), we get a palindrome (2487667842).

The spelling of 2401066800 in words is "two billion, four hundred one million, sixty-six thousand, eight hundred".