2389248000 has 576 divisors, whose sum is σ = 9268000560. Its totient is φ = 589824000.

The previous prime is 2389247977. The next prime is 2389248007. The reversal of 2389248000 is 8429832.

It can be written as a sum of positive squares in 8 ways, for example, as 1557504 + 2387690496 = 1248^2 + 48864^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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 (2389248007) 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, 39167970 + ... + 39168030.

Almost surely, 2^2389248000 is an apocalyptic number.

2389248000 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 2389248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634000280).

2389248000 is an abundant number, since it is smaller than the sum of its proper divisors (6878752560).

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

2389248000 is a wasteful number, since it uses less digits than its factorization.

2389248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2389248000 is about 48879.9345335077. The cubic root of 2389248000 is about 1336.8635339029.

The spelling of 2389248000 in words is "two billion, three hundred eighty-nine million, two hundred forty-eight thousand".