2002183440840 has 768 divisors, whose sum is σ = 7599456184320. Its totient is φ = 451800760320.

The previous prime is 2002183440839. The next prime is 2002183440841. The reversal of 2002183440840 is 480443812002.

2002183440840 is a `hidden beast` number, since 2 + 0 + 0 + 218 + 34 + 408 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2002183440839) and next prime (2002183440841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2002183440795 and 2002183440804.

It is not an unprimeable number, because it can be changed into a prime (2002183440841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2957434582 + ... + 2957435258.

It is an arithmetic number, because the mean of its divisors is an integer number (9895125240).

Almost surely, 2^{2002183440840} is an apocalyptic number.

2002183440840 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 2002183440840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799728092160).

2002183440840 is an abundant number, since it is smaller than the sum of its proper divisors (5597272743480).

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

2002183440840 is a wasteful number, since it uses less digits than its factorization.

2002183440840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 2002183440840 in words is "two trillion, two billion, one hundred eighty-three million, four hundred forty thousand, eight hundred forty".