| Base | Representation |
|---|---|
| bin | 1001000010111110… |
| … | …0111011111000000 |
| 3 | 20021020110120202000 |
| 4 | 2100233213133000 |
| 5 | 14433132322400 |
| 6 | 1040545024000 |
| 7 | 114115034022 |
| oct | 22057473700 |
| 9 | 6236416660 |
| 10 | 2428401600 |
| 11 | 1036851079 |
| 12 | 579325000 |
| 13 | 2c9151231 |
| 14 | 190734012 |
| 15 | e32d6600 |
| hex | 90be77c0 |
2428401600 has 336 divisors, whose sum is σ = 8995257600. Its totient is φ = 637148160.
The previous prime is 2428401589. The next prime is 2428401611. The reversal of 2428401600 is 61048242.
2428401600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (2428401589) and next prime (2428401611).
It is a super-3 number, since 3×24284016003 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2893981 + ... + 2894819.
It is an arithmetic number, because the mean of its divisors is an integer number (26771600).
Almost surely, 22428401600 is an apocalyptic number.
2428401600 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 2428401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497628800).
2428401600 is an abundant number, since it is smaller than the sum of its proper divisors (6566856000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2428401600 is a wasteful number, since it uses less digits than its factorization.
2428401600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 937 (or 916 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
The square root of 2428401600 is about 49278.8149208156. The cubic root of 2428401600 is about 1344.1265824654.
Adding to 2428401600 its reverse (61048242), we get a palindrome (2489449842).
The spelling of 2428401600 in words is "two billion, four hundred twenty-eight million, four hundred one thousand, six hundred".
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