| Base | Representation |
|---|---|
| bin | 111100110011000… |
| … | …0000011110000000 |
| 3 | 12021011122001212100 |
| 4 | 1321212000132000 |
| 5 | 13134220202103 |
| 6 | 534232230400 |
| 7 | 101360524620 |
| oct | 17146003600 |
| 9 | 5234561770 |
| 10 | 2040006528 |
| 11 | 95759210a |
| 12 | 48b23b400 |
| 13 | 266843b71 |
| 14 | 154d10880 |
| 15 | be1665a3 |
| hex | 79980780 |
2040006528 has 384 divisors, whose sum is σ = 7423902720. Its totient is φ = 523911168.
The previous prime is 2040006523. The next prime is 2040006533. The reversal of 2040006528 is 8256000402.
2040006528 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 0 + 0 + 652 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (2040006523) and next prime (2040006533).
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×20400065282 = 8323253268565229568, which contains 22 as substring.
It is a zygodrome in base 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2040006523) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3152701 + ... + 3153347.
It is an arithmetic number, because the mean of its divisors is an integer number (19333080).
Almost surely, 22040006528 is an apocalyptic number.
2040006528 is a gapful number since it is divisible by the number (28) 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 2040006528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711951360).
2040006528 is an abundant number, since it is smaller than the sum of its proper divisors (5383896192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2040006528 is a wasteful number, since it uses less digits than its factorization.
2040006528 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 714 (or 699 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
The square root of 2040006528 is about 45166.4314286617. The cubic root of 2040006528 is about 1268.2664938917.
The spelling of 2040006528 in words is "two billion, forty million, six thousand, five hundred twenty-eight".
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