2398840012800 has 2160 divisors, whose sum is σ = 11145527807232. Its totient is φ = 496867737600.

The previous prime is 2398840012781. The next prime is 2398840012843. The reversal of 2398840012800 is 82100488932.

2398840012800 is a `hidden beast` number, since 239 + 8 + 8 + 400 + 1 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 7664025444 + ... + 7664025756.

Almost surely, 2^{2398840012800} is an apocalyptic number.

2398840012800 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 2398840012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572763903616).

2398840012800 is an abundant number, since it is smaller than the sum of its proper divisors (8746687794432).

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

2398840012800 is an equidigital number, since it uses as much as digits as its factorization.

2398840012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 2398840012800 in words is "two trillion, three hundred ninety-eight billion, eight hundred forty million, twelve thousand, eight hundred".