2082061800 has 768 divisors, whose sum is σ = 9332736000. Its totient is φ = 414305280.

The previous prime is 2082061769. The next prime is 2082061823. The reversal of 2082061800 is 81602802.

2082061800 is a `hidden beast` number, since 20 + 8 + 20 + 618 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9336489 + ... + 9336711.

It is an arithmetic number, because the mean of its divisors is an integer number (12152000).

Almost surely, 2^2082061800 is an apocalyptic number.

2082061800 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 2082061800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666368000).

2082061800 is an abundant number, since it is smaller than the sum of its proper divisors (7250674200).

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

2082061800 is a wasteful number, since it uses less digits than its factorization.

2082061800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2082061800 is about 45629.6153829944. The cubic root of 2082061800 is about 1276.9224976456.

The spelling of 2082061800 in words is "two billion, eighty-two million, sixty-one thousand, eight hundred".