2338578000 has 640 divisors, whose sum is σ = 9507962880. Its totient is φ = 544320000.

The previous prime is 2338577993. The next prime is 2338578001. The reversal of 2338578000 is 8758332.

2338578000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2338578001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18413937 + ... + 18414063.

It is an arithmetic number, because the mean of its divisors is an integer number (14856192).

Almost surely, 2^2338578000 is an apocalyptic number.

2338578000 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 2338578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753981440).

2338578000 is an abundant number, since it is smaller than the sum of its proper divisors (7169384880).

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

2338578000 is a wasteful number, since it uses less digits than its factorization.

2338578000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2338578000 is about 48358.8461400807. The cubic root of 2338578000 is about 1327.3454127501.

The spelling of 2338578000 in words is "two billion, three hundred thirty-eight million, five hundred seventy-eight thousand".