2000416112 has 80 divisors (see below), whose sum is σ = 4270869504. Its totient is φ = 903552000.

The previous prime is 2000416091. The next prime is 2000416133. The reversal of 2000416112 is 2116140002.

It is an interprime number because it is at equal distance from previous prime (2000416091) and next prime (2000416133).

It is a super-2 number, since 2×2000416112² = 8003329242298393088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 1103687 + ... + 1105497.

Almost surely, 2^2000416112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000416112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135434752).

2000416112 is an abundant number, since it is smaller than the sum of its proper divisors (2270453392).

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

2000416112 is a wasteful number, since it uses less digits than its factorization.

2000416112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2000416112 is about 44726.0115816289. The cubic root of 2000416112 is about 1260.0084218804.

Adding to 2000416112 its reverse (2116140002), we get a palindrome (4116556114).

The spelling of 2000416112 in words is "two billion, four hundred sixteen thousand, one hundred twelve".