2083248000 has 768 divisors, whose sum is σ = 8489370240. Its totient is φ = 486604800.

The previous prime is 2083247993. The next prime is 2083248053. The reversal of 2083248000 is 8423802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56303982 + ... + 56304018.

Almost surely, 2^2083248000 is an apocalyptic number.

2083248000 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 2083248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4244685120).

2083248000 is an abundant number, since it is smaller than the sum of its proper divisors (6406122240).

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

2083248000 is a wasteful number, since it uses less digits than its factorization.

2083248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2083248000 is about 45642.6116693600. The cubic root of 2083248000 is about 1277.1649492876.

The spelling of 2083248000 in words is "two billion, eighty-three million, two hundred forty-eight thousand".