2420800324800 has 672 divisors, whose sum is σ = 9354644597760. Its totient is φ = 540330393600.

The previous prime is 2420800324799. The next prime is 2420800324843. The reversal of 2420800324800 is 84230080242.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 95 ways as a sum of consecutive naturals, for example, 280733289 + ... + 280741911.

It is an arithmetic number, because the mean of its divisors is an integer number (13920602080).

Almost surely, 2^{2420800324800} is an apocalyptic number.

2420800324800 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 2420800324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677322298880).

2420800324800 is an abundant number, since it is smaller than the sum of its proper divisors (6933844272960).

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

2420800324800 is a wasteful number, since it uses less digits than its factorization.

2420800324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9081 (or 9066 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 2420800324800 in words is "two trillion, four hundred twenty billion, eight hundred million, three hundred twenty-four thousand, eight hundred".