2086982820 has 240 divisors, whose sum is σ = 7225506288. Its totient is φ = 500981760.

The previous prime is 2086982803. The next prime is 2086982867. The reversal of 2086982820 is 282896802.

It can be written as a sum of positive squares in 8 ways, for example, as 115089984 + 1971892836 = 10728^2 + 44406^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 862252 + ... + 864668.

Almost surely, 2^2086982820 is an apocalyptic number.

2086982820 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 2086982820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612753144).

2086982820 is an abundant number, since it is smaller than the sum of its proper divisors (5138523468).

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

2086982820 is a wasteful number, since it uses less digits than its factorization.

2086982820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2086982820 is about 45683.5070895394. The cubic root of 2086982820 is about 1277.9277218926.

It can be divided in two parts, 2086982 and 820, that added together give a palindrome (2087802).

The spelling of 2086982820 in words is "two billion, eighty-six million, nine hundred eighty-two thousand, eight hundred twenty".