2401820800 has 96 divisors (see below), whose sum is σ = 6005396880. Its totient is φ = 949048320.

The previous prime is 2401820797. The next prime is 2401820833. The reversal of 2401820800 is 80281042.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261079 + ... + 270121.

Almost surely, 2^2401820800 is an apocalyptic number.

2401820800 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 2401820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002698440).

2401820800 is an abundant number, since it is smaller than the sum of its proper divisors (3603576080).

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

2401820800 is an equidigital number, since it uses as much as digits as its factorization.

2401820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9150 (or 9133 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 2401820800 is about 49008.3747945185. The cubic root of 2401820800 is about 1339.2043988861.

The spelling of 2401820800 in words is "two billion, four hundred one million, eight hundred twenty thousand, eight hundred".