2144085600 has 144 divisors (see below), whose sum is σ = 7002676800. Its totient is φ = 569817600.

The previous prime is 2144085569. The next prime is 2144085607. The reversal of 2144085600 is 65804412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144085607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 793051 + ... + 795749.

It is an arithmetic number, because the mean of its divisors is an integer number (48629700).

Almost surely, 2^2144085600 is an apocalyptic number.

2144085600 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 2144085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501338400).

2144085600 is an abundant number, since it is smaller than the sum of its proper divisors (4858591200).

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

2144085600 is a wasteful number, since it uses less digits than its factorization.

2144085600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2144085600 is about 46304.2719411503. The cubic root of 2144085600 is about 1289.4783059641.

The spelling of 2144085600 in words is "two billion, one hundred forty-four million, eighty-five thousand, six hundred".