2384640000 has 600 divisors, whose sum is σ = 9287558280. Its totient is φ = 608256000.

The previous prime is 2384639981. The next prime is 2384640007. The reversal of 2384640000 is 464832.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2384640007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 103679989 + ... + 103680011.

Almost surely, 2^2384640000 is an apocalyptic number.

2384640000 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 2384640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643779140).

2384640000 is an abundant number, since it is smaller than the sum of its proper divisors (6902918280).

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

2384640000 is an frugal number, since it uses more digits than its factorization.

2384640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2384640000 is about 48832.7758785019. The cubic root of 2384640000 is about 1336.0035378251.

The spelling of 2384640000 in words is "two billion, three hundred eighty-four million, six hundred forty thousand".