| Base | Representation |
|---|---|
| bin | 11101001101001100111… |
| … | …010000000000000000000 |
| 3 | 21002212112001211220102211 |
| 4 | 131031030322000000000 |
| 5 | 230340404220000000 |
| 6 | 4134004344351504 |
| 7 | 265001215342300 |
| oct | 35151472000000 |
| 9 | 7085461756384 |
| 10 | 2007040000000 |
| 11 | 7041a9836002 |
| 12 | 284b89775594 |
| 13 | 117355c33b49 |
| 14 | 6d1d985d600 |
| 15 | 3731b0987ba |
| hex | 1d34ce80000 |
2007040000000 has 480 divisors, whose sum is σ = 5836779491400. Its totient is φ = 688128000000.
The previous prime is 2007039999997. The next prime is 2007040000001. The reversal of 2007040000000 is 407002.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 4 ways, for example, as 1210633682944 + 796406317056 = 1100288^2 + 892416^2 .
It is a super-3 number, since 3×20070400000003 (a number of 38 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (2007040000001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286719999997 + ... + 286720000003.
Almost surely, 22007040000000 is an apocalyptic number.
2007040000000 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 2007040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918389745700).
2007040000000 is an abundant number, since it is smaller than the sum of its proper divisors (3829739491400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2007040000000 is an frugal number, since it uses more digits than its factorization.
2007040000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 87 (or 14 counting only the distinct ones).
The product of its (nonzero) digits is 56, while the sum is 13.
Adding to 2007040000000 its reverse (407002), we get a palindrome (2007040407002).
The spelling of 2007040000000 in words is "two trillion, seven billion, forty million", and thus it is an aban number and an uban number.
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