2000414120 has 32 divisors (see below), whose sum is σ = 4524270120. Its totient is φ = 796016640.

The previous prime is 2000414093. The next prime is 2000414153. The reversal of 2000414120 is 214140002.

It can be written as a sum of positive squares in 4 ways, for example, as 1787429284 + 212984836 = 42278^2 + 14594^2 .

It is a super-3 number, since 3×2000414120³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2000414095 and 2000414104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121841 + ... + 137280.

Almost surely, 2^2000414120 is an apocalyptic number.

2000414120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000414120 is an abundant number, since it is smaller than the sum of its proper divisors (2523856000).

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

2000414120 is a wasteful number, since it uses less digits than its factorization.

2000414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259325 (or 259321 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2000414120 is about 44725.9893127027. The cubic root of 2000414120 is about 1260.0080036445.

Adding to 2000414120 its reverse (214140002), we get a palindrome (2214554122).

The spelling of 2000414120 in words is "two billion, four hundred fourteen thousand, one hundred twenty".