2082240000 has 400 divisors, whose sum is σ = 7733961840. Its totient is φ = 552960000.

The previous prime is 2082239993. The next prime is 2082240047. The reversal of 2082240000 is 422802.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 8639880 + ... + 8640120.

Almost surely, 2^2082240000 is an apocalyptic number.

2082240000 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 2082240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866980920).

2082240000 is an abundant number, since it is smaller than the sum of its proper divisors (5651721840).

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

2082240000 is an frugal number, since it uses more digits than its factorization.

2082240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2082240000 is about 45631.5680203957. The cubic root of 2082240000 is about 1276.9589264550.

Adding to 2082240000 its reverse (422802), we get a palindrome (2082662802).

The spelling of 2082240000 in words is "two billion, eighty-two million, two hundred forty thousand".