2398032000 has 1024 divisors, whose sum is σ = 11049292800. Its totient is φ = 497664000.

The previous prime is 2398031983. The next prime is 2398032023. The reversal of 2398032000 is 2308932.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 39311970 + ... + 39312030.

It is an arithmetic number, because the mean of its divisors is an integer number (10790325).

Almost surely, 2^2398032000 is an apocalyptic number.

2398032000 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 2398032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524646400).

2398032000 is an abundant number, since it is smaller than the sum of its proper divisors (8651260800).

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

2398032000 is a wasteful number, since it uses less digits than its factorization.

2398032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2398032000 is about 48969.7049204914. The cubic root of 2398032000 is about 1338.4998434112.

The spelling of 2398032000 in words is "two billion, three hundred ninety-eight million, thirty-two thousand".