2318400000 has 720 divisors, whose sum is σ = 9973611648. Its totient is φ = 506880000.

The previous prime is 2318399987. The next prime is 2318400011. The reversal of 2318400000 is 48132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100799989 + ... + 100800011.

Almost surely, 2^2318400000 is an apocalyptic number.

2318400000 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 2318400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986805824).

2318400000 is an abundant number, since it is smaller than the sum of its proper divisors (7655211648).

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

2318400000 is an frugal number, since it uses more digits than its factorization.

2318400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2318400000 is about 48149.7663545733. The cubic root of 2318400000 is about 1323.5167929080.

Adding to 2318400000 its reverse (48132), we get a palindrome (2318448132).

The spelling of 2318400000 in words is "two billion, three hundred eighteen million, four hundred thousand".