2082002700 has 144 divisors (see below), whose sum is σ = 6123358080. Its totient is φ = 546132480.

The previous prime is 2082002599. The next prime is 2082002701. The reversal of 2082002700 is 72002802.

It is not an unprimeable number, because it can be changed into a prime (2082002701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7356759 + ... + 7357041.

It is an arithmetic number, because the mean of its divisors is an integer number (42523320).

Almost surely, 2^2082002700 is an apocalyptic number.

2082002700 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 2082002700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061679040).

2082002700 is an abundant number, since it is smaller than the sum of its proper divisors (4041355380).

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

2082002700 is a wasteful number, since it uses less digits than its factorization.

2082002700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2082002700 is about 45628.9677726770. The cubic root of 2082002700 is about 1276.9104155780.

The spelling of 2082002700 in words is "two billion, eighty-two million, two thousand, seven hundred".