2398144000 has 320 divisors, whose sum is σ = 7032085632. Its totient is φ = 798720000.

The previous prime is 2398143971. The next prime is 2398144003. The reversal of 2398144000 is 4418932.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2398144003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23743950 + ... + 23744050.

Almost surely, 2^2398144000 is an apocalyptic number.

2398144000 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 2398144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516042816).

2398144000 is an abundant number, since it is smaller than the sum of its proper divisors (4633941632).

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

2398144000 is an equidigital number, since it uses as much as digits as its factorization.

2398144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2398144000 is about 48970.8484713099. The cubic root of 2398144000 is about 1338.5206812828.

The spelling of 2398144000 in words is "two billion, three hundred ninety-eight million, one hundred forty-four thousand".