2082087144 has 96 divisors (see below), whose sum is σ = 5900843520. Its totient is φ = 661972608.

The previous prime is 2082087143. The next prime is 2082087151. The reversal of 2082087144 is 4417802802.

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

It is a junction number, because it is equal to n+sod(n) for n = 2082087099 and 2082087108.

It is not an unprimeable number, because it can be changed into a prime (2082087143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655849 + ... + 659015.

It is an arithmetic number, because the mean of its divisors is an integer number (61467120).

Almost surely, 2^2082087144 is an apocalyptic number.

2082087144 is a gapful number since it is divisible by the number (24) 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 2082087144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950421760).

2082087144 is an abundant number, since it is smaller than the sum of its proper divisors (3818756376).

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

2082087144 is a wasteful number, since it uses less digits than its factorization.

2082087144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2082087144 is about 45629.8930965217. The cubic root of 2082087144 is about 1276.9276787586.

Adding to 2082087144 its reverse (4417802802), we get a palindrome (6499889946).

The spelling of 2082087144 in words is "two billion, eighty-two million, eighty-seven thousand, one hundred forty-four".