| Base | Representation |
|---|---|
| bin | 1010111101100111… |
| … | …1100100000100000 |
| 3 | 21121002102110020000 |
| 4 | 2233121330200200 |
| 5 | 22011330023430 |
| 6 | 1204002420000 |
| 7 | 132632336232 |
| oct | 25731744040 |
| 9 | 7532373200 |
| 10 | 2942814240 |
| 11 | 1280161993 |
| 12 | 6a1661600 |
| 13 | 37b8b1502 |
| 14 | 1dcb9c252 |
| 15 | 123549e60 |
| hex | af67c820 |
2942814240 has 720 divisors, whose sum is σ = 11919505752. Its totient is φ = 680804352.
The previous prime is 2942814209. The next prime is 2942814247. The reversal of 2942814240 is 424182492.
It can be written as a sum of positive squares in 4 ways, for example, as 2919889296 + 22924944 = 54036^2 + 4788^2 .
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-2 number, since 2×29428142402 = 17320311302293555200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 2942814195 and 2942814204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2942814247) by changing a digit.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 79535502 + ... + 79535538.
Almost surely, 22942814240 is an apocalyptic number.
2942814240 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 2942814240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959752876).
2942814240 is an abundant number, since it is smaller than the sum of its proper divisors (8976691512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2942814240 is a wasteful number, since it uses less digits than its factorization.
2942814240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 119 (or 83 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The square root of 2942814240 is about 54247.7118411459. The cubic root of 2942814240 is about 1433.0267025105.
The spelling of 2942814240 in words is "two billion, nine hundred forty-two million, eight hundred fourteen thousand, two hundred forty".
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