| Base | Representation |
|---|---|
| bin | 111100011111001… |
| … | …0110011110000000 |
| 3 | 12020110001220201100 |
| 4 | 1320332112132000 |
| 5 | 13124040022010 |
| 6 | 533221334400 |
| 7 | 101203256613 |
| oct | 17076263600 |
| 9 | 5213056640 |
| 10 | 2029610880 |
| 11 | 951731770 |
| 12 | 487867400 |
| 13 | 2646441ab |
| 14 | 1537a617a |
| 15 | bd2b12c0 |
| hex | 78f96780 |
2029610880 has 384 divisors, whose sum is σ = 7744688640. Its totient is φ = 485683200.
The previous prime is 2029610851. The next prime is 2029610887. The reversal of 2029610880 is 880169202.
2029610880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2029610887) 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, 6525925 + ... + 6526235.
It is an arithmetic number, because the mean of its divisors is an integer number (20168460).
Almost surely, 22029610880 is an apocalyptic number.
2029610880 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 2029610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3872344320).
2029610880 is an abundant number, since it is smaller than the sum of its proper divisors (5715077760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2029610880 is a wasteful number, since it uses less digits than its factorization.
2029610880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 450 (or 435 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 36.
The square root of 2029610880 is about 45051.2028696238. The cubic root of 2029610880 is about 1266.1085087771.
The spelling of 2029610880 in words is "two billion, twenty-nine million, six hundred ten thousand, eight hundred eighty".
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