2002181820 has 48 divisors (see below), whose sum is σ = 5628486528. Its totient is φ = 531784000.

The previous prime is 2002181813. The next prime is 2002181843. The reversal of 2002181820 is 281812002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51414 + ... + 81533.

It is an arithmetic number, because the mean of its divisors is an integer number (117260136).

Almost surely, 2^2002181820 is an apocalyptic number.

2002181820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002181820 is an abundant number, since it is smaller than the sum of its proper divisors (3626304708).

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

2002181820 is a wasteful number, since it uses less digits than its factorization.

2002181820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133210 (or 133208 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 2002181820 is about 44745.7463900201. The cubic root of 2002181820 is about 1260.3790368852.

Adding to 2002181820 its reverse (281812002), we get a palindrome (2283993822).

It can be divided in two parts, 2002181 and 820, that added together give a triangular number (2003001 = T₂₀₀₁).

The spelling of 2002181820 in words is "two billion, two million, one hundred eighty-one thousand, eight hundred twenty".