2002040040 has 384 divisors, whose sum is σ = 8211611520. Its totient is φ = 383846400.

The previous prime is 2002040009. The next prime is 2002040063. The reversal of 2002040040 is 400402002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 2002039998 and 2002040025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 839650 + ... + 842030.

It is an arithmetic number, because the mean of its divisors is an integer number (21384405).

Almost surely, 2^2002040040 is an apocalyptic number.

2002040040 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 2002040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105805760).

2002040040 is an abundant number, since it is smaller than the sum of its proper divisors (6209571480).

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

2002040040 is a wasteful number, since it uses less digits than its factorization.

2002040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2002040040 is about 44744.1620773034. The cubic root of 2002040040 is about 1260.3492858812.

Adding to 2002040040 its reverse (400402002), we get a palindrome (2402442042).

The spelling of 2002040040 in words is "two billion, two million, forty thousand, forty", and thus it is an eban number.