2318243200 has 384 divisors, whose sum is σ = 7437024000. Its totient is φ = 693411840.

The previous prime is 2318243173. The next prime is 2318243201. The reversal of 2318243200 is 23428132.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2318243201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5532591 + ... + 5533009.

It is an arithmetic number, because the mean of its divisors is an integer number (19367250).

Almost surely, 2^2318243200 is an apocalyptic number.

2318243200 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 2318243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718512000).

2318243200 is an abundant number, since it is smaller than the sum of its proper divisors (5118780800).

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

2318243200 is a wasteful number, since it uses less digits than its factorization.

2318243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2318243200 is about 48148.1380740730. The cubic root of 2318243200 is about 1323.4869544976.

The spelling of 2318243200 in words is "two billion, three hundred eighteen million, two hundred forty-three thousand, two hundred".