| Base | Representation |
|---|---|
| bin | 111111001100000… |
| … | …0110001010100000 |
| 3 | 12110202121122121200 |
| 4 | 1332120012022200 |
| 5 | 13320240332140 |
| 6 | 550220121200 |
| 7 | 103353535662 |
| oct | 17630061240 |
| 9 | 5422548550 |
| 10 | 2120245920 |
| 11 | 998907161 |
| 12 | 4b2096200 |
| 13 | 27a3591b0 |
| 14 | 16183a532 |
| 15 | c6216030 |
| hex | 7e6062a0 |
2120245920 has 288 divisors, whose sum is σ = 7942635792. Its totient is φ = 511819776.
The previous prime is 2120245909. The next prime is 2120245927. The reversal of 2120245920 is 295420212.
It is a happy number.
2120245920 is a `hidden beast` number, since 2 + 1 + 202 + 459 + 2 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 246741264 + 1873504656 = 15708^2 + 43284^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×21202459202 = 8990885522553292800, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (2120245927) 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 47 ways as a sum of consecutive naturals, for example, 991092 + ... + 993228.
Almost surely, 22120245920 is an apocalyptic number.
2120245920 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 2120245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971317896).
2120245920 is an abundant number, since it is smaller than the sum of its proper divisors (5822389872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2120245920 is a wasteful number, since it uses less digits than its factorization.
2120245920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2224 (or 2213 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
The square root of 2120245920 is about 46046.1281759933. The cubic root of 2120245920 is about 1284.6813282160.
The spelling of 2120245920 in words is "two billion, one hundred twenty million, two hundred forty-five thousand, nine hundred twenty".
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