2002020040 has 32 divisors (see below), whose sum is σ = 4533250680. Its totient is φ = 795704832.

The previous prime is 2002020029. The next prime is 2002020043. The reversal of 2002020040 is 400202002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1190112004 + 811908036 = 34498^2 + 28494^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2002019999 and 2002020026.

It is not an unprimeable number, because it can be changed into a prime (2002020043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153117 + ... + 165676.

Almost surely, 2^2002020040 is an apocalyptic number.

2002020040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002020040 is an abundant number, since it is smaller than the sum of its proper divisors (2531230640).

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

2002020040 is a wasteful number, since it uses less digits than its factorization.

2002020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318961 (or 318957 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2002020040 is about 44743.9385839021. The cubic root of 2002020040 is about 1260.3450889839.

Adding to 2002020040 its reverse (400202002), we get a palindrome (2402222042).

The spelling of 2002020040 in words is "two billion, two million, twenty thousand, forty".