2165248800 has 576 divisors, whose sum is σ = 9213160320. Its totient is φ = 483840000.

The previous prime is 2165248793. The next prime is 2165248801. The reversal of 2165248800 is 88425612.

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

It is not an unprimeable number, because it can be changed into a prime (2165248801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3088450 + ... + 3089150.

It is an arithmetic number, because the mean of its divisors is an integer number (15995070).

Almost surely, 2^2165248800 is an apocalyptic number.

2165248800 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 2165248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606580160).

2165248800 is an abundant number, since it is smaller than the sum of its proper divisors (7047911520).

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

2165248800 is a wasteful number, since it uses less digits than its factorization.

2165248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2165248800 is about 46532.2339889243. The cubic root of 2165248800 is about 1293.7070223068.

The spelling of 2165248800 in words is "two billion, one hundred sixty-five million, two hundred forty-eight thousand, eight hundred".