2368396800 has 960 divisors, whose sum is σ = 10960012800. Its totient is φ = 486604800.

The previous prime is 2368396777. The next prime is 2368396801. The reversal of 2368396800 is 86938632.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2368396801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26611156 + ... + 26611244.

It is an arithmetic number, because the mean of its divisors is an integer number (11416680).

Almost surely, 2^2368396800 is an apocalyptic number.

2368396800 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 2368396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480006400).

2368396800 is an abundant number, since it is smaller than the sum of its proper divisors (8591616000).

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

2368396800 is a wasteful number, since it uses less digits than its factorization.

2368396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2368396800 is about 48666.1771664880. The cubic root of 2368396800 is about 1332.9631861417.

The spelling of 2368396800 in words is "two billion, three hundred sixty-eight million, three hundred ninety-six thousand, eight hundred".