2082080000 has 540 divisors, whose sum is σ = 7011230688. Its totient is φ = 599040000.

The previous prime is 2082079957. The next prime is 2082080003. The reversal of 2082080000 is 802802.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082080003) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 160159994 + ... + 160160006.

Almost surely, 2^2082080000 is an apocalyptic number.

2082080000 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 2082080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505615344).

2082080000 is an abundant number, since it is smaller than the sum of its proper divisors (4929150688).

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

2082080000 is an equidigital number, since it uses as much as digits as its factorization.

2082080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2082080000 is about 45629.8148144390. The cubic root of 2082080000 is about 1276.9262183039.

Adding to 2082080000 its reverse (802802), we get a palindrome (2082882802).

It can be divided in two parts, 208 and 2080000, that multiplied together give a square (432640000 = 20800²).

The spelling of 2082080000 in words is "two billion, eighty-two million, eighty thousand".