2009014020 has 288 divisors, whose sum is σ = 7014134400. Its totient is φ = 461334528.

The previous prime is 2009014009. The next prime is 2009014043. The reversal of 2009014020 is 204109002.

It is a super-2 number, since 2×2009014020² = 8072274665113120800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2009013984 and 2009014002.

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 95 ways as a sum of consecutive naturals, for example, 3245271 + ... + 3245889.

Almost surely, 2^2009014020 is an apocalyptic number.

2009014020 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 2009014020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507067200).

2009014020 is an abundant number, since it is smaller than the sum of its proper divisors (5005120380).

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

2009014020 is a wasteful number, since it uses less digits than its factorization.

2009014020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2009014020 is about 44822.0260586243. The cubic root of 2009014020 is about 1261.8110389229.

The spelling of 2009014020 in words is "two billion, nine million, fourteen thousand, twenty".