| Base | Representation |
|---|---|
| bin | 111111101001000… |
| … | …0100000000100000 |
| 3 | 12111211012122221201 |
| 4 | 1333102010000200 |
| 5 | 13333133111230 |
| 6 | 551521530544 |
| 7 | 103626644536 |
| oct | 17722040040 |
| 9 | 5454178851 |
| 10 | 2135441440 |
| 11 | 9a6445840 |
| 12 | 4b71a3a54 |
| 13 | 280549822 |
| 14 | 163874156 |
| 15 | c77185ca |
| hex | 7f484020 |
2135441440 has 192 divisors, whose sum is σ = 5831626752. Its totient is φ = 731315200.
The previous prime is 2135441351. The next prime is 2135441443. The reversal of 2135441440 is 441445312.
It is a super-2 number, since 2×21354414402 = 9120220287338547200, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2135441399 and 2135441408.
It is not an unprimeable number, because it can be changed into a prime (2135441443) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2873709 + ... + 2874451.
It is an arithmetic number, because the mean of its divisors is an integer number (30373056).
Almost surely, 22135441440 is an apocalyptic number.
2135441440 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 2135441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915813376).
2135441440 is an abundant number, since it is smaller than the sum of its proper divisors (3696185312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2135441440 is a wasteful number, since it uses less digits than its factorization.
2135441440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 863 (or 855 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 28.
The square root of 2135441440 is about 46210.8368242775. The cubic root of 2135441440 is about 1287.7430720882.
Adding to 2135441440 its reverse (441445312), we get a palindrome (2576886752).
The spelling of 2135441440 in words is "two billion, one hundred thirty-five million, four hundred forty-one thousand, four hundred forty".
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