2483712000 has 936 divisors, whose sum is σ = 11362162032. Its totient is φ = 516096000.

The previous prime is 2483711999. The next prime is 2483712001. The reversal of 2483712000 is 2173842.

It is an interprime number because it is at equal distance from previous prime (2483711999) and next prime (2483712001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2483712001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 225791995 + ... + 225792005.

It is an arithmetic number, because the mean of its divisors is an integer number (12139062).

Almost surely, 2^2483712000 is an apocalyptic number.

2483712000 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 2483712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5681081016).

2483712000 is an abundant number, since it is smaller than the sum of its proper divisors (8878450032).

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

2483712000 is a wasteful number, since it uses less digits than its factorization.

2483712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2483712000 is about 49836.8538332829. The cubic root of 2483712000 is about 1354.2548882432.

Adding to 2483712000 its reverse (2173842), we get a palindrome (2485885842).

The spelling of 2483712000 in words is "two billion, four hundred eighty-three million, seven hundred twelve thousand".